What about your father? Is he staying in US? And your siblings?
This is quite a difficult situation because going back to Korea with your mom will most likely result in loss of US citizenship due to Korean law(has the law changed since Pres. M was elected?), but staying with your father will be very deteriorating to your mental health.
I am pretty sure there are other people in this forum who have more information, but if you want to stay as US citizen, then you should have some people on your side; teacher, friend, or anyone outside your family that you can confide in. Do you have any friend that will let you stay for a short time?
Like a few posters said, you must contact the state representative, and even the social workers. Explain them your situations as detailed as possible. They may be able to help find you ways to be independent from both your parents. Social workers can be extremely helpful.
But, that is your choice.