Do I have anorexia??? Please help?

I'm 5'7 160ibs. and i true size 6.About 2 months ago, my coach told me to lose weight for baseball. I was 210ibs. and a size 14-16. Yes i've lost all that weight in 2 months. Not by choice though. I've been forced by my parents and coach. I work out 8 hrs a day and eat less than 500 colories a day and low carb. I have no energy and cant eat anything. Tell me to win i have to be skinny. They want me to be a size 2-4 in 2 weeks. They r so strict about my eating!! I was eating cheese at a party and i had 2 crackers on my plate and i got yelled at cuz ''it had carbs'' and ''its not the time to get fat''. I used to think i was thin but now i see myself as fat. Like i think im a size 12 or 14 again. I thought size 6 was good but now i want to be a size 2 or 0. I've lost my period and some of my hair as fallen out. But i can't do anything about it. Do i have anorexia???