[zaphod]

Hand 1: Check fold the flop. I hate to min raise, what do you hope to achive by minraising? Too many ways to loose here. You might already be behind, he might bet you out of the hand even if you are ahead and he might draw out on you if you are ahead. My default line for small pocket pair is to fold when i don't hit them(especially when you are up against a preflop raiser). So unless i have a very strong read i will fold 55 here almost all the time.

Hand 2: Fine you cannot call this, unless you have very clear indications that your opponent is very donkish.