Is it normal almost everything my family does makes me extremely angry?

I have 3 sisters and I live with both my parents, I am male.

I see the flaws in everything my mom does, she acts like a hypocrite all day with nearly everything she does and I am not allowed to be angered by this because she does things for me. She gets mad when I tell her she is either wrong, lying, or setting a double standard, even if I am not saying it in an angry way. She uses what provides for me as a reason that I cannot be mad at her, I can't even fathom how stupid that is, if you want my respect than stop using what you provide me with as an excuse to be an asshole whenever you want.

My littlest sister (12) hates me, and I hate her, it's mutual and we both understand that, but she will do anything and everything she can to make my life harder. She thinks she is better than everyone and my mom won't do anything about it because she is the youngest one, I always get blamed for her shit because she hates me. She isn't always blaming me but my mom just will not punish her for being an ass, but because I am older I have to "Ignore it"

The problems I have with my mom's reasoning and thought is so deep rooted its gonna take more than her thinking she deserves respect, to get it. I have punched the support beam in my room 5 times out of anger, all times the skin where my knuckle has busted and she doesn't care to question it. Every time I see her or talk to her I can't not think about how angry I am with her reasoning, and she wont let me talk because she gets mad when I tell her how I feel which makes me more angry.