That's a tough situation, man. Hmm. I'd say to not mess with that. Mind games can really screw with you; especially if you are too attracted to this girl.
If you must pursue; don't allow yourself to become too emotionally involved with this girl. She'll burn you. As for whether they are IOI's...if she is bothering to use you as a test subject then yes. From the sounds of it she at least has some interest in you.
Search for "framing methods". It's my favorite part of the game (besides the obvious [{()}]

). If you can master maintaining, and controlling, frames then this girl will be eating out of your hand. Good luck.