Am I in the wrong or is my step mom overdramatizing shit?!?

I’m 17 and I live with my dad, step mom, and little sister who switches from our moms house to our dads house every Friday, I don’t switch anymore for other reasons. Anyways I am basically fed up with my step mom. She doesn’t clean the kitchen, the most she will do is wash the dishes once a week, which is not enough for our family because they pile high, and she doesn’t cook dinner. I have pitched in a lot, but each time I do I get no help and no appreciation from her or my dad. When I stop washing the dishes or cooking dinner it doesn’t get done. Not only that but she acts like a child. Basically my car broke months ago. I had an 02 Toyota that we could not fix, so I had to get something else. My step mom gave her brand new Malibu to my step sister about a year ago before she went off to college and took the car we bought for her to originally have, an 06 Toyota paid in full. When my dad started saying we would have to get me a new car she PITCHED A FIT to get her a new car as well. I heard the whole conversation between her and my dad because that’s how loud she was yelling on the phone. Any who she ended up getting her 2019 car and when I say a new car for me I got an 02 Jeep Liberty. I’m not being ungrateful but it wasn’t like I was getting a 2017 car while she was keeping her 06 car... anyways what really pushed me over was tonight. I rented a redbox movie for my little sister and my DVD player was already set up in the living room so I was playing it there. Our dad is at work tonight (he’s a firefighter) and she said to me “you know the game is coming on tonight” talking about a football game and I said alright. That’s all she said before going in her room and slamming the door before going to see my dad. When she gets back and goes in her room slamming the door again I get a text from my dad saying “you can’t watch your movie in your room?” And I tell him I already had my DVD player set up out here and you know I have to move my furniture in my room to set it up in there. He then goes on to tell me that she wanted to watch the football game in the living room. And I’m like ok all she had to do was ask me to move to my room instead of going behind my back for the second time over a simple issue like this painting me as the bad person over the smallest thing in the world. He then tells me she’s scared to talk to me because she thinks I will hate her even more. For one I don’t hate her, I just don’t like how she acts. She comes home everyday with an attitude slamming doors and picking fights with my dad... again this isn’t the first time she’s text my dad over a small issue rather than coming to me about it like an ADULT. I’m tired of my dad always taking her side without even listening or TRYING to understand where I’m coming from.