What can I do if the reviewers' comments on my manuscript are not correct?
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.
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.
Are you sure that's why they want to reject your paper? It seems much more likely that they rejected your paper because of deficiencies in it, and suggested that bringing in co-authors could help you rectify those deficiencies.
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.
I would say taht your response to the referee is written in a way that suggests that they are stupid and what they did is just rubbish. Your response seems to have been written with very low respect. A little hypocritical, no?
I feel that they rejected my paper because my name is not known in this area
While there is some bias towards accepting the work of well-known researchers as being interesting and worthy, mostly they rejected your paper because it wasn't good enough and, it seems, because they felt it was technically flawed (at least in places). You have a paper that has now been rejected by two journals: this should be a huge wake-up call but you seem completely unwilling to accept any criticism of it and insist on blaming everybody but yourself. If you just had one referee who wanted to reject your paper then, sure, maybe you were unlucky and got a bad referee. But it sounds like both referees at the current journal rejected, plus however many at the first one. Can you see a pattern here?
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
If you believe that this is a major reason for rejection, you could try submitting to a journal that uses blind reviewing, i.e. identity of the author/s is concealed from the reviewers.
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
In that case, the simplest option is to provide a cite to where some of those other researchers have made these points. It's frustrating having to cite what seems obvious, but not everybody has the same idea of what's "obvious".
You might also check how you have explained those points. On my most recent paper, I got several reviewer comments that were incorrect. The reviewers had misunderstood my paper. But even though their suggested changes were wrong, the feedback was still useful because it helped me identify areas where my explanation wasn't clear. By improving the explanation, I was able to satisfy my reviewers.
Beyond that, as Buffy and David have suggested, consider your reviewers' comments very carefully. It's not impossible to get two clueless reviewers, but it's unlikely.