Is it possible I'm neurotic?

I've had diagnosed anxiousness(not 'anxiousness' obviously but so-called disorders like anxiety, anxiety-related disorders) my entire life. But I don't know if it explains all of my personality problems. And I know you can't just try to use personality disorders to explain all your faults or weaknesses, but I want to know something I've always wondered; could I have neurosis? As a child I would transfer schools and always be told I *would* make friends, etc but I didn't. In elementary school I just stood around at recess staring into space, sometimes for entire years at new schools. I also had extreme irritibility as a kid(seriously, pretty bad) and began having suicidal tendencies around ten. By now I've worked a lot at improving myself and dealing with things and have become a lot more open. But I do now have physical ailments like chronic headaches and stomaches and a lot of fatigue, as well as insomnia, hunger with no appetite(as in not wanting to eat but feeling very very hungry after not eating for prolonged periods of time), and tiredness in general that doesn't really go away. I usually have nausea or vomiting in the morning, also. I get very anxious in public places still and have many problems socializing and communicating with strangers. I have intent and desire to, but only after leaving the scene. Out in public, I usually get irate and nervous at loud noises and sweat a lot. It takes a lot out of me to get out there and look like I'm not having a problem. I'm only fifteen and keep going to the doctor but they can't find anything wrong. Many of them tell me to see a psychiatrist to be diagnosed/treated for possible depression and I do get that a lot. But most of it is just acting 'weird' around others and I don't want to be like that anymore. Auditory hallucinations are also becoming a waxing problem but are not yet affecting day to day life. I don't WANT a diagnosis... But is it possible I have neurosis?