Yea you should break up with her, she sounds like a piece of shit. She treats you like crap and then treats you worse when you try and stand up for yourself, what about this situation is really good? What about this relationship makes it worth putting up with this stuff?

It doesn't even sound like marriage, it sounds more like you have a new daughter. She doesn't get what she wants, so she throws a fit and goes to her other parents house until you give in and buy her a present, You're not sleeping together ever and she has no interest in doing anything for you at all. What your parents are asking you to do is not to be the bigger person, it's to be her new dad and just roll over and be her bitch.