What are academic honors and prizes? I am applying for a scholarship (women in graduate studies). It asks whether I have received any academic honors and prizes. I received a couple of master's awards from my supervisor's grant and a graduate scholarship. Do those count as an academic honor or not?

And in another part, it asks whether I have got funding in the past or present. I am getting some money for doing research. Is it a bad thing to include? They won't give me further funding? Having said that, the amount of money that I am getting for doing research is nominal, that is why I am applying for more funding.
I dont see why your graduate scholarship and masters award are not the honor or funding. I have used them in my CV for PhD applications, and plan to to include for my post-docs as well. 

About funding: if you have received funding from any source, do mention it. It will not hurt your chances. In fact, it will demonstrate that you are a dependable researcher. Do mention about the project detail (if you can) and that you have successfully completed the project. When they ask about funding, it does not mean that they are not willing to give it to you. They are looking for someone who know the worth of the money he/she will get.