Does this sound like bulimia or eating disorder?

I've been having a hard time lately at school because I've lost all my friends (they ran away from me). I stopped eating for a while, then started eating loads when I felt a bit better. But recently, I've heard that they have been talking about me behind my back and I stopped eating for almost 2 weeks. I am 5 ft 9 and weigh 60 kgs, I'm depressed and feel fat because I don't have a boyfriend and never have done, I don't know what to do... Guys are always making fun at the idea of me ever having a boyfriend.