Fourthwalling: I'd prefer not
Offensive subjects (elaborate): Nothing comes to mind. Come at me bro.
Hugging this character: Sure; but don't expect her to be huggy unless she considers you to be a close friend.
Kissing this character: Polite/friendly kisses are fine, though she may be slightly taken aback. If you're not someone she knows really well, however, expect an elbow to the face.
Flirting with this character: Go for it! If you're smooth enough, she may get flirty in return.
Fighting with this character: I'm totally down for action scenes! Abbie has had police training; she is good with basic hand-to-hand maneuvers as well as full-blown shootouts.
Injuring this character (include limits and severity): Sure; but if it goes as far as breaking bones, please notify/ask me first.
Killing this character: Fine with me.
Using telepathy/mind reading abilities on this character: No problem.