Everyone folded to the button. His raise makes me think he's trying to steal the blinds. With the JJ, because you'll be OOP for the rest of the hand, I would think a raise is much better than a call. Looks like Baudib1 is suggesting 4x the button's raise.
Why is that a better bet than 3x?
If, after that, the button calls, I would assume this is a good indicator that he has something in his hand. Did you have any sense of what range of hands he might play? Did you think it might be a steal with anything? Low pp? Suited connectors (better to play those against more opponents, right?, but doesn't mean the villain plays that way, especially at micro-stakes). Monster?
Assuming he would have called that pre-flop re-raise, the check and raise on the flop would, I should think, set off alarms that he hit something on the flop. Given the texture of the flop, would a better bet after a check be pot-sized?