@myrockissolid,
She hasn't done anything I can tell, other than to be very friendly with men, including her ex-husband. She's a bartender and perhaps having a lot of male friends is natural for her.
Still, she does not act like she is in a committed relationship, so I wonder why you would move in with her.
You seem to be keeping a laundry list of behaviors you think are troublesome. They signal bad times to come for you. Clearly, you don't trust her and her behaviors will drive you crazy.
Slow down with her and see if she is willing to make you her exclusive, but don't count on it. You two sound like you are in different worlds.
May I ask your ages?