Plz help

Hello, I’m 18 and almost done with highschool still living with my parents. My mother and I got into a physical altercation after an argument. She was pulling my hair and hitting me repeatedly. I ended up pushing her away and she came back so I punched her.. in the face. My father came to break it up. She said she wanted me lut of the house and to not return so I tried to do that. My father told me not to leave because it is his house and his rules and I am his daughter. He then said if I didn’t go downstairs to my room that he would call the cops on me for the bruise on my mothers face “2 against 1” he said as he started counting down. I feel terrible for hitting my mom but I don’t know what else I should have done. I have multiple scratches on my forearms probably 4.5 inches long. And another one about 6 inches. I have scratch on my neck, and some smaller ones on my face. My elbow is bruised and swollen. I didn’t know about these marks until I came downstairs although my elbow was killing me. I am not sure if there is any other marks on my mom because we kept on fighting until my dad came downstairs. Please tell me I am not in the wrong for fighting back? I feel like I was defending myself. Not sure what else I was supposed to do. If I sat there and let her hit me I’m not sure how bad I would be looking right now.