Yeah - I'm gonna re-word what Tim wrote based on my experiences.
My ex went to the cops, told them i was violent. Was it a happy marriage? no. Were there fights? yes. Arguments? sure. But looking back now, I am comfortable with the fact that a times I did not behave well.... I was not in a good place. But, i consider myself a victim of abuse, not a perpetrator of abuse.
Like you, I was prepared to 'work on the relationship'. But looking back now, it was all bs.
So feel free to ignore, maybe my experience is nothing like your's. BUT - do you really wanna continue a relationship with someone who has caused you this world of pain? And do you really want a scenario where the avo might still be in place, with some amendments, but push comes to shove in the event of any dispute, she could call the cops and you will be arrested. Do you really want a relationship with those paramaters?