You can speak in confidence to your doctor about your eating disorder and the symptoms you're experiencing.
While it's normal to go through anxiety at this stage of your life, if it is worsening your eating disorder, then it needs to be addressed medically. Ask your doctor if there are any counsellors that work with youth, or eating disorder groups that don't charge you to attend.
Being home schooled is tough - but perhaps you can go to a local school, tell them your story and ask them if you can enroll, or take some tests to see what level you achieve so they can place you appropriately.
See if you can get a job after school. Places like Wal-Mart offer scholarships to deserving staff members.
School and work offer you opportunities to get acquainted with new people. Trust your Spidey-sense - if someone gives you a bad vibe, don't get too close, too quickly. Friendships - real ones as opposed to Kingdom Hall™ ones - take time to develop, so be patient with yourself and the new people you meet.
School and work also give you a chance to be away from your parents' domineering influence. I honestly think you need space and time away from that environment. You can love your parents without realizing that they are excessively controlling.
If you aren't yet Baptized™, DON'T do it. There's no rush. Armageddon™ isn't coming. You can get on with your education, go to college, learn whatever skills you like, and begin a career, although you may need to maintain a back up job while you get established as an artist.
Check in here whenever you like. You're welcome here. You're safe here.