How to play 2 pair in O8B?

[ChipFish]

I would think that at the 3/6 level, you do not have that many callers preflop. Basically, you are assuming a level of competency from your opponents.
With that said, You can be aggressive but faced with a re-raise you have a decision to make.
Perhaps this time you can lay it down, maybe next time don't.
With a safe board (Read, no flush, no straight, your only worry at the moment is a set.)
Keep in mind that your opponent knows this too. Does he even have a set?
Does he even have 2 pair? Maybe he is just drawing, and maybe still he is just making a play.

Although it is wise to fold when you think you are beaten, sometimes a re-raise is called for too.