Well, if they are your friends they will just naturally want to be around you. I'm not sure exactly what the situation is, but (at least for me) I do not go around people I don't like. And for me to like someone I have to have a good opinion of them. Just because someone may be able to "tell" that you have mental health issues doesn't mean you are walking around all weird or anything. They may just be attuned to other people's feelings and moods well?

That all being said, I'm incredibly awkward socially, so I do not generally try to have friends. When I do, I usually do things to screw it up. I don't know. I wish you luck though.