What can I do if the reviewers' comments on my manuscript are not correct? I sent my paper to one journal, which took about 3 months to respond to me. 

They decided to reject my paper, and gave me some comments and reasons why my paper was rejected. The first reviewer said a little about my paper and he/she wants to reject my paper because I do not have co-authors with me. I did the paper by myself. 

The comments of the second reviewer seemed disrespectful and misinformed. 

His/her comments were written in a way that suggests that I am stupid and what I did is just rubbish. He/she gave me some comments (the reasons why he/she wants to reject my paper). When I read the comments, I found that all the comments are useless and wrong. For example, at two simple points (very known in the area of my topic), she/he said these points are wrong. All researchers in this field know that what I wrote is completely correct. All other comments were just written with very low respect. 

What can I do? I did this hard job alone, so why do I need to find someone to be a co-author? I feel that they rejected my paper because my name is not known in this area (I am a student).
Whether they are right or wrong, the editors are in control of what they will publish and you don't have any control over that. You aren't likely to be successful with an argument with them. 

You have two options, at least. One is to change the paper so that they are satisfied with it. The other is to try to publish elsewhere. 

However, I will guess that the comments of reviewers aren't as invalid as you think they are. Even if you decide to publish elsewhere, you should go carefully through your paper with the views of the reviewers in mind and see what you can do to make it better. 

No one is required to take all of the advice of reviewers, but generally, they are expert in the field and so have valuable things to say. You don't need to respond to every advice, but you should, at least, consider every advice. 

Among other things, I wonder why they suggest a co-author. Is there something in the paper that suggests that it would be appropriate, or are you in a field in which sole authorship (especially by students) is rare? 

And don't take the comments personally. They aren't criticizing you when they have doubts about the paper. They are focused only on the work itself.