I'm miserable at my new home.?

Well it hasn't been that long that you have been there, and you can be depressed at 12. Maybe give it at least a month. It could be worse. Maybe you need to make new friends? sometimes life is funny that way, maybe they will be no good in the future and life has better plans for you then what they will go out and do. Think positive. Maybe ask your parents if you can go to a public school. Explain your not liking being home all the time and never getting the best chance to make new friends, which right now you feel you could really use a friend. I'm sure they will understand and work with you to make you feel a little more at home. Good luck.