Is it bad that sometimes I get these episodes of extreme anger where I just want to destroy everything around me, but I just harm myself?

I know it's not normal. But I want to know if this is a serious issue. When I was young a bad thing had happened to me and ever since than I've been depressed and I have had really bad anger issues. When I was younger I used get severally bullied so I would often scratch my face due to me being so mad and frustrated. I eventually grew out of that as I moved to a different school. But I've been slowly starting to do harm to myself again when I get angry enough because of my dad. He has a lot of these strict rules that I didn't have with my mom so it's bit difficult for me. And he yells at me every time I do something wrong, he may not know it, but he does. And well when he starts yelling I start to get angry and upset so I start to yell back and well eventually I go to my room to calm down and I end up harming myself in one way or another.