I agree with others who say you need to get out of that house. There may be shelters or other services provided in your area. There may not, but it could be worth at least looking into.

I don't know if it would help, even just to make you feel better because you have evidence, but you might consider audio recording the way your parents, especially your mother, talk, and treat you, as well as having examples of her drunken state. You also need to look into the laws in your state about recording conversations if you want to do that

As far as dealing with them at home, remember that they are going to treat you this way, no matter what you do. When you react, two things are going on, you are providing them even more ammo, and something to which they can be even more reactive, and you are doing exactly what they want, giving them the satisfaction of your reaction, and letting them know they got to you.

That being said, It isn't your fault. It isn't your fault what they do to you, nor the fact that it hurts you. There is nothing wrong with the fact that you react to mistreatment, unfortunately, it just gives them more to hurt you with. I mention this because the only way to deal with my emotionally and verbally abusive father with whom I live is to go blank faced and stop any and all emotional reaction. It is really difficult to do.

Take care, and get out of there. In the end, that will be the only real way.