I'm going to let you make the call about the car ticket. I say no, don't pay it, but you are trying to make peace but at the same time, not be her whipping boy. Your call.
I know you want to see her, but maybe you need to do these fiancial and tactical "talks" via email. Then you have a record. And then you might even have a record of how nasty she can be.
But if you are going to to go to dinner, then write down your proposal and bring two pencils so you can make changes accordingly.
Try to keep in mind, this is not really your wife, this is a business meeting now....work up from there. You are re-establishing your relationship with her because the old one is dead.
Do you understand that, by the way? You're old marriage is dead and gone....let's work on a new relationship with her, ok?