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: No prob. Polite/friendly kisses are fine by her, 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.