You need to talk to an adult you can trust, preferably a school counselor or social worker, but you can start with aunts, uncles, grandparents, etc. if you can trust them. They probably have someone at your school. Don't run away--you could end up in a much worse situation. Given the situation at home, you may be able to get into foster care, or stay with a relative or friend's parents who are more stable than your current home. You need therapy to help you through this rough time, especially since you're feeling a need to cut to cope with the feelings.
Write down specific things that are happening to bring with you to the counselor, both symptoms you have and specific things your parents are doing. For example, rather than just saying that your father's abusive, write down the specific things he does on different days, and write down your depressive symptoms and how you feel. It will help you organize your thoughts, and make sure you don't forget anything since the meeting with the counselor will probably get quite emotional.
There are child abuse hotlines too. If you can't deal with the idea of seeing someone in person, you can call a hotline anonymously, and they can talk to you and direct you to the services you need in your area. Please keep us updated on how you are doing.
Do you have anyone to talk to that you can trust? Please talk to someone dear and fast. This is not healthy for you.
xoxoxo Anna