I agree with the other posters. There are a ton of red flags here. Maybe for the sake of your mental health you should move out. I am an introvert as well and need a lot of alone time. My daughter went away to college and I'm left taking care of her cat and dog. Neither of them does even a fraction of the things your boyfriend's cat does and it's still cumbersome and overwhelming when I'm in a severe depression. Please take care of you. Your mental health is a priority.