What you didn’t mention in the letter is whether you have a counselor. If not, you have been heroic long enough. You’ve been battling the effects of bullying, anxiety and an eating disorder on your own. That’s amazing! But at some point, most people who have had the experiences that you have had need a little help. There is no shame in that. Why should you be fighting the impulses to cut and the social anxiety all by yourself, when there are professionals who have made it their life work to help people deal with these issues?
If you haven’t yet seen a counselor, do make an appointment right away. If you have been seeing a counselor, I hope you are seeing him or her regularly and that you are sharing the same information you did here. The road back from an eating disorder is a difficult one but it is not impossible. With support, you can also learn the coping skills and social skills you need to be more comfortable around other people.
Please. Take care of yourself and get the help you need. The bullying that happened when you were young does not have to set a negative direction for your entire life.
I wish you well.