Self harm? Help? Save me from myself.?

I started feeling very sad at about 8 years old.But it was never really very bad. Depressed you can say. At 9, one time I had too much. I felt angry and sad and worthless i felt like screaming yet i can't. I can't bring myself too because i know the consequences. So i thought about self harm, i just started. I took a pair of scissors and started drawing on my wrist. not the bottom part because i know its dangerous. i made a vow to myself at 8 that i would never suicide no matter how bad it may be. Anyway, to be honest it was fun and releiving. When i saw blood, you might think i'm mad, but i actually felt a little happy, because i actually acheived something. At 11 i turned to biting. So much easier and much less revealing than cutting. If i bit real hard i might get a little bit of blood, but no more than a few drops, but it would always bruise and my skin very rarely shows bruises, only maybe a little but not much, it would hurt though. I'm 13 now. Yesterday, i had a fight with my parents.I bit myself again. They saw. They were angry called me phsycotic and crazy and mad and should be caged up in a zoo and people should be careful of me. so i bit again. This time they beat me and said that I am mad. I screamed and bit again. I feel so bad today. I have always been different, did things that were weird, hated by teachers, never confident but with words that were a double edged sword. Am i really mad and deserve to be caged in a zoo? I feel bad, and is it my fault? I guess it is, and i would like some comfort, and hope you won't judge.