I have a great deal of sympathy for you. I know how it feels to dislike your looks and to feel rejected on that account and I know how it feels to be made fun of, the cruely of that.
I know it probably doesn't help to hear guys say "yeah, I used to be like you, now I'm better" which I see in the responses to your posting.
I believe you should re-think the weight-lifting thing. If you are seeing no muscular improvement and the exercises make you sick, then either you really are sick and need to work with a doctor on that, or you are doing something wrong with your exercise routine. Are you trying to do too much too soon? I have read that "overtraining" can make people sick.
Anyway, best of luck to you