I don't know if it's as black and white as who is right or wrong, though I do believe you're being abused verbally, mentally, and emotionally. Some of the things you've experienced are exactly what my mother used to do and/or say to me as I was growing up. It was only the two of us--she shunned all relationships, and all but demanded I do the same. While I'm somewhat introverted, I'm an only child and had kind of a natural inclination to make friends at school. As I got into high school, she didn't handle this well and the abuse got worse. It was something that was incredibly defeating, caused me to be somewhat "stunted" in my relationships with others, and I never had any real security growing up. But long story incredibly short, I was put into foster care at 15 and that is the last time I saw her. Though I will always bear scars from that upbringing--I don't know how to read people, tend to default to always being on alert in relationships, and my horrible trust issues are almost legendary within my friend group, lol--I am thankful that I got out when I did because I believe that it saved me.

Point is that I think you have a decision to make: continue to be put down and belittled or care for yourself no matter what. It's not an easy decision. Believe me, I've had to make it on more than one occasion and at the expense of more than one family relationship.