user471: If someone enters the stream and becomes a sotapanna (stream winner), then he would have at most, seven lifetimes left. What the stream is, is defined in this answer as:

This noble eightfold path — right view, right resolve, right speech,
  right action, right livelihood, right effort, right mindfulness, right
  concentration — is the stream. (SN 55.5)

Thanissaro Bhikku further comments here that:

The coming-together of these factors is called the stream because it
  leads inevitably to two things, just as the current of a tributary
  will lead inevitably to a major river and then to the sea. In the
  immediate present, the stream leads directly to the arising of the
  Dhamma eye, the vision that actually constitutes this first awakening.
  Over time, the stream ensures that — in no more than seven lifetimes —
  one will be totally unbound.

The Dhamma eye is explained as the ability to see firsthand and experientially, the impermanence of the five aggregates and dependent origination.
My questions are (for rebirths as a human):

How does a reborn stream-winner know that he or she is one?
Does being a stream-winner in a previous lifetime, mean that one would be reborn into a devout Buddhist family in this lifetime or would definitely be led to the Dhamma eventually?
Is the reborn stream-winner's Dhamma eye open immediately at birth, or only after he or she encounters the Dhamma and returns back to the Noble Eightfold Path?
How is it guaranteed that the reborn stream-winner would not choose another path or another teacher, and drop out of the stream, considering that we do not remember previous lifetimes?
Please provide any info from the canon regarding this.


user5513: 
How does a reborn stream-winner know that he or she is one?

I think there is no sign or feeling about this. (Is there any sign or feeling when one reach the sotapanna even in this life time?)
The person "who attains a clear understanding of Three Marks of Existence and Four Noble Truths - and therefore cutting all doubts" as discussed in How does stream entry occur? becomes a stream enterer/Sotapanna. 
They no longer have the first 3 fetters:  

Belief in a self,     
Doubts about the Buddha, his teachings or the
    noble sangha
Attachments to rites and rituals.
1). He does not have a view of "Atman" or permenent self (Identity
view). But he leaves the feeling of "I", My,Myself like "Avijja" or
ignorance.
2). If he finds (True) Buddha, Dhamma, or sangha he insistently
accepts them or understands what they realize.
3). He has the thinking power to select or understand what is write
or wrong to follow.

So Question 2 is not necessary. 
For Question 3 & 4, The Dhamma eye (Understanding - clarity of thinking) is already with him and it is not lost (it improves continuously until final liberation).
Shall we consider this quart from this answer.

I believe there are probably a few ways to enter the stream.
I have entered the stream (as a lay person) Having no parents has
  really helped me to connect more deeply with the true nature of the
  way things are. I have had little conditioning, no preconceptions. As
  an autodidact, things have been revealed to me intuitively over many
  years.
For the last 20 years I have been going on walks (walking meditation)
  in the local forests asking questions. Nature has been my mother and
  father, my teacher. My eye has always been open on these walks. I
  realized that whatever arises would cease and it was heartwarming.
For me, being a stream winner is like this: When you have to overcome
  extreme trauma and appalling loss and you don't become cruel and you
  can forgive and you can let it go, you stop the cycle. You have done
  what you came here for and you transform. That and maybe 20 years of
  walking in woods...lol. I doubt I could do another 20! Be Well.


user-1: Sotapanna handbook
I have posted this book couple of times.  The publisher compiled nearly 50 suttas about stream enterer mentioned by Buddha. I'm wondering the same thing about reborn-stream enterer but couldnt find one mentioned by Buddha.  IMO, it is like parents sending a child who is on a right track off to college.  A child might get into some minor problems along the way but eventually will graduate. Parents dont have real concern knowing their child will reach his/her destination.  Bhuddha mentioned a few reborn places of Stream enterers and once returners but not more than one life so we dont know what will become of them next. (Ex. anathapindika, lady visaka, lady Sumana (once returner, anathapindika's daughter.  All reborn in heavenly realms)  

user2282: 

How does a reborn stream-winner know that he or she is one?


Like a math or music prodigy who can easily recall their skillset through just some basic exposure to music or math, a stream-winner would be like that, if not much quicker or even instantaneous since Path/Fruit are supra-mundane skills, unlike mundane fields like math/music.
There're concrete metrics to determine a stream-winner. Details are available in many suttas like AN 9.12, AN 3.87, SN 12.41, etc. (ref: suttacentral.net)


Does being a stream-winner in a previous lifetime, mean that one would be reborn into a devout Buddhist family in this lifetime or would definitely be led to the Dhamma eventually?


S/he's to be born into any place(devas or humans) and time where the conditions are conducive to guarantee enlightenment at most 7 more life times.


Is the reborn stream-winner's Dhamma eye open immediately at birth, or only after he or she encounters the Dhamma and returns back to the Noble Eightfold Path?


The DhammaEye opens just once and will stay there when the noble disciple makes the breakthrough to StreamEntry, as said in AN 3.94:

"Bhikkhus, just as, in the autumn, when the sky is clear and cloudless, the sun, ascending in the sky, dispels all darkness from space as it shines and beams and radiates, so too, when the dust-free, stainless Dhamma-eye arises in the noble disciple, then, together with the arising of vision, the noble disciple abandons three fetters: personal-existence view, doubt, and wrong grasp of behavior and observances"

.


How is it guaranteed that the reborn stream-winner would not choose another path or another teacher, and drop out of the stream, considering that we do not remember previous lifetimes?


S/he won't switch path since they possess the Seven Great Reviewing Knowledges of Stream Entry (MN 48), one of which is: "Knowledge that no other recluse or brahmin outside the Buddha's Dispensation possessed of a view that one possess." Also see the child prodigy analogy mention in question 1.


Please provide any info from the canon regarding this


All refs. should be available on accesstoinsight.org or suttacentral.net

471: <p>If someone enters the stream and becomes a sotapanna (stream winner), then he would have at most, seven lifetimes left. What the stream is, is defined in <a href="https://buddhism.stackexchange.com/a/11245/471">this answer</a> as:</p>

<blockquote>
  <p>This noble eightfold path — right view, right resolve, right speech,
  right action, right livelihood, right effort, right mindfulness, right
  concentration — is the stream. (SN 55.5)</p>
</blockquote>

<p>Thanissaro Bhikku further comments <a href="http://www.accesstoinsight.org/lib/study/into_the_stream.html" rel="nofollow noreferrer">here</a> that:</p>

<blockquote>
  <p>The coming-together of these factors is called the stream because it
  leads inevitably to two things, just as the current of a tributary
  will lead inevitably to a major river and then to the sea. In the
  immediate present, the stream leads directly to the arising of the
  Dhamma eye, the vision that actually constitutes this first awakening.
  Over time, the stream ensures that — in no more than seven lifetimes —
  one will be totally unbound.</p>
</blockquote>

<p>The Dhamma eye is <a href="http://www.accesstoinsight.org/lib/study/into_the_stream.html#arising" rel="nofollow noreferrer">explained</a> as the ability to see firsthand and experientially, the impermanence of the five aggregates and dependent origination.</p>

<p>My questions are (for rebirths as a human):</p>

<ol>
<li><p>How does a reborn stream-winner know that he or she is one?</p></li>
<li><p>Does being a stream-winner in a previous lifetime, mean that one would be reborn into a devout Buddhist family in this lifetime or would definitely be led to the Dhamma eventually?</p></li>
<li><p>Is the reborn stream-winner's Dhamma eye open immediately at birth, or only after he or she encounters the Dhamma and returns back to the Noble Eightfold Path?</p></li>
<li><p>How is it guaranteed that the reborn stream-winner would not choose another path or another teacher, and drop out of the stream, considering that we do not remember previous lifetimes?</p></li>
<li><p>Please provide any info from the canon regarding this.</p></li>
</ol>
 5513: <blockquote>
  <p>How does a reborn stream-winner know that he or she is one?</p>
</blockquote>

<p>I think there is no sign or feeling about this. (Is there any sign or feeling when one reach the sotapanna even in this life time?)</p>

<p>The person "who attains a clear understanding of Three Marks of Existence and Four Noble Truths - and therefore cutting all doubts" as discussed in <a href="https://buddhism.stackexchange.com/q/216/5513">How does stream entry occur?</a> becomes a stream enterer/Sotapanna. </p>

<p>They no longer have the first 3 fetters:  </p>

<ol>
<li>Belief in a self,     </li>
<li>Doubts about the Buddha, his teachings or the
    noble sangha</li>
<li><p>Attachments to rites and rituals.</p>

<p>1). He does not have a view of "Atman" or permenent self (Identity
view). But he leaves the feeling of "I", My,Myself like "Avijja" or
ignorance.</p>

<p>2). If he finds (True) Buddha, Dhamma, or sangha he insistently
accepts them or understands what they realize.</p>

<p>3). He has the thinking power to select or understand what is write
or wrong to follow.</p></li>
</ol>

<p>So <em>Question 2</em> is not necessary. </p>

<p>For <em>Question 3 &amp; 4</em>, The Dhamma eye (Understanding - clarity of thinking) is already with him and it is not lost (it improves continuously until final liberation).</p>

<p>Shall we consider this quart from this <a href="https://buddhism.stackexchange.com/a/7400/5513">answer</a>.</p>

<blockquote>
  <p>I believe there are probably a few ways to enter the stream.</p>
  
  <p>I have entered the stream (as a lay person) Having no parents has
  really helped me to connect more deeply with the true nature of the
  way things are. I have had little conditioning, no preconceptions. As
  an autodidact, things have been revealed to me intuitively over many
  years.</p>
  
  <p>For the last 20 years I have been going on walks (walking meditation)
  in the local forests asking questions. Nature has been my mother and
  father, my teacher. My eye has always been open on these walks. I
  realized that whatever arises would cease and it was heartwarming.</p>
  
  <p>For me, being a stream winner is like this: When you have to overcome
  extreme trauma and appalling loss and you don't become cruel and you
  can forgive and you can <strong>let it go</strong>, you stop the cycle. You have done
  what you came here for and you transform. That and maybe 20 years of
  walking in woods...lol. I doubt I could do another 20! Be Well.</p>
</blockquote>
 -1: <p><a href="http://www.youblisher.com/p/623524-Sotapanna-Handbook-English/" rel="nofollow">Sotapanna handbook</a>
I have posted this book couple of times.  The publisher compiled nearly 50 suttas about stream enterer mentioned by Buddha. I'm wondering the same thing about reborn-stream enterer but couldnt find one mentioned by Buddha.  IMO, it is like parents sending a child who is on a right track off to college.  A child might get into some minor problems along the way but eventually will graduate. Parents dont have real concern knowing their child will reach his/her destination.  Bhuddha mentioned a few reborn places of Stream enterers and once returners but not more than one life so we dont know what will become of them next. (Ex. anathapindika, lady visaka, lady Sumana (once returner, anathapindika's daughter.  All reborn in heavenly realms)  </p>
 2282: <blockquote>
  <ol>
  <li>How does a reborn stream-winner know that he or she is one?</li>
  </ol>
</blockquote>

<p>Like a math or music prodigy who can easily recall their skillset through just some basic exposure to music or math, a stream-winner would be like that, if not much quicker or even instantaneous since Path/Fruit are supra-mundane skills, unlike mundane fields like math/music.
There're concrete metrics to determine a stream-winner. Details are available in many suttas like AN 9.12, AN 3.87, SN 12.41, etc. (ref: suttacentral.net)</p>

<blockquote>
  <ol start="2">
  <li>Does being a stream-winner in a previous lifetime, mean that one would be reborn into a devout Buddhist family in this lifetime or would definitely be led to the Dhamma eventually?</li>
  </ol>
</blockquote>

<p>S/he's to be born into any place(devas or humans) and time where the conditions are conducive to guarantee enlightenment at most 7 more life times.</p>

<blockquote>
  <ol start="3">
  <li>Is the reborn stream-winner's Dhamma eye open immediately at birth, or only after he or she encounters the Dhamma and returns back to the Noble Eightfold Path?</li>
  </ol>
</blockquote>

<p>The DhammaEye opens just once and will stay there when the noble disciple makes the breakthrough to StreamEntry, as said in AN 3.94:</p>

<blockquote>
  <p>"Bhikkhus, just as, in the autumn, when the sky is clear and cloudless, the sun, ascending in the sky, dispels all darkness from space as it shines and beams and radiates, so too, when the dust-free, stainless Dhamma-eye arises in the noble disciple, then, together with the arising of vision, the noble disciple abandons three fetters: personal-existence view, doubt, and wrong grasp of behavior and observances"</p>
</blockquote>

<p>.</p>

<blockquote>
  <ol start="4">
  <li>How is it guaranteed that the reborn stream-winner would not choose another path or another teacher, and drop out of the stream, considering that we do not remember previous lifetimes?</li>
  </ol>
</blockquote>

<p>S/he won't switch path since they possess the Seven Great Reviewing Knowledges of Stream Entry (MN 48), one of which is: "Knowledge that no other recluse or brahmin outside the Buddha's Dispensation possessed of a view that one possess." Also see the child prodigy analogy mention in question 1.</p>

<blockquote>
  <ol start="5">
  <li>Please provide any info from the canon regarding this</li>
  </ol>
</blockquote>

<p>All refs. should be available on accesstoinsight.org or suttacentral.net</p>
