In hand #1 it's an easy call at this point. His raise is small and you have a strong hand. I see nothing wrong with checking and calling this down if the bets are reasonable. If the turn gets checked I'd bet the river.

Here is a quick run of the hands you might be up against.


Some likely hands that beat you:
...a set
...AK or aces up (3 hands)


Some likely hands that you beat
...all Ax hands not mentioned above which equals 10 hands
...other BS hands






I can't see any reason to fold. OTOH, there is a modest chance that you are beat this is not a good time to go all in.