Do I have an eating disorder?

I'm a girl of 13 years old, i'm 1.62m and 45 kg. Last october I started losing a lot of weight at once. I was 55 back then. Since then I don't have my 'normal period' anymore. Once in 2 months maybe only a few drops... I also was making myself to trow up every day a few months ago, but not anymore. Because my dad caught me once... I don't want to go to some specialist or to a clinic to get help. So I just want to know what all of you think. All the people around me say that I'm very thin. Family,friends,friends of my parents,the teachers at school... Even a shop assistant said once to me: 'Oh, girl...you're so thin!!' My friends even call me a skeleton-girl at school... But I think i'm perfect. Sometimes even a bit chubby. I often have blue-purple hands, I'm always feeling cold (even after sports), I always have dreams at night bout food and calories, i always count my calories and stand at least 8 times per day on the weight scales. I only drink water or sometimes tea. There are even more symptoms I have, but it's just too much to write them all down... Am I anorexic or not??