The drinking is a downer so that won't help. There is someone, a teacher, an older adult, who will listen. There are local Community mental health in the USA. Don't give up. I encourage you to not fake recovery but do actual recovery. I wish I could do more to help.
There is a group here for eating disorders too, they should help.
The cutting and drinking only relieve the pain temporarly, you need to see to getting to the root of the problem.