Min-raise hand 1. He has a Queen w/ good or top kicker and will probably only call a small amount. I think he may fold to a push since you said he respects big bets. I think if he had a better hand, he would not lead out 1/2 pot. He would check-raise or bet higher for value. That's just my feeble opinion.

Like you said, Hand 2 doesn't matter much. Call and fold to a raise or just fold. Depends on your mood.