Look, honestly? This sounds like a crap relationship with a lot of incompatibilities, but what you've listed is more about hurt feelings and disrespect, rather than abuse and endangerment. In short, it sounds like a typical relationship that's on its last legs, no different to any other relationship that's on its last legs.
Like it or not, the guy is in your life forever because you've got a child together, so you've now got a choice. You can file for a protection order, have him removed from the house and create an entirely hostile co-parenting environment that risks going to court for parenting orders and negatively affecting your daughter, or you can tell him it's over, go see a counsellor, and make a plan so that you can try and co-parent together for the benefit of your child.