Unfortunately most human coping mechanisms (the healthy ones, at least) really boil down to being around and talking to other people (even if not directly about the issues you're having). You being isolated as you are makes that really tough, but I'm sure there are many here that would be happy to lend an ear any time you need (myself being one of them) and that would probably help somewhat.
I'm not sure what type of ED you have, so that may change my next recommendation - exercise also will help a lot. If you have anorexia nervosa, though, that would probably not be a good thing to try as it can quickly get out of hand. My best friend suffers from anorexia so I've seen first hand what it can do to someone and how it can twist your thinking over time. Please try to find some help for that, even if it's just a recovery support forum online for people suffering from the same thing. Once you're able to leave home, make recovery from your ED a top priority. People can and do die from eating disorders - it is not something to be toyed with. Your body (particularly your brain) needs food in healthy quantities to function properly - if you aren't getting that your brain will be impaired and things only get worse. Try to force yourself to maintain healthy eating habits and the rest will get a little easier (though it can still be quite difficult to be sure).
In lieu of exercise, just getting outside can make a significant difference to your mental state. Go spend an hour in a nice plush, green park every day or something. Just sitting outside in a setting like that will usually lift your mood somewhat (and you may even make a friend or two after a while if it's a busy park).
Definitely don't drink - you're underage for one, but alcohol will typically only worsen depression in the long run.