13 and bulimic?

Okay so I’m 13, and I don’t know what’s going on. I have really bad mood swings all the time, I get anxious a lot, and I think I’m really fat. My bmi is only just above underweight, but my weight fluctuates a lot of the time. I’ve tried to make myself sick and failed 4 times, and my parents stop me from going into the bathroom after dinner Beacuse they thought I was making myself sick. My sister suffers from BDD. I don’t like posting pictures online and I have to wear loads of makeup to make my face not look fat. Someone help is this an eating disorder?? What should I do my parents don’t believe in mental illness.