Just to be sure, are you connecting in ORD or originating?
Someone correct me if I'm wrong, but you might be hosed:
- She can't get into T3 with a BP departing from T5.
- You can't get into T5 with a BP departing from T3
- You can't use the T3>T5 airside shuttle without a BP departing from T5.
- The shuttle is one way only.
So the answer is... your questions are unfortunately moot, so you can't share a lounge. FWIW... the AA lounge is better than the BA lounge in T5.