does he need to rest? is it two turns in a row then rest like will power? or does he just "energize bunny" it?

He can't be outwitted , doesn't take pushing damage and doesn't freeze . That's my understanding of it ( life time will-power ) .

The Power Cosmic TA allows Silver Surfer to do 2 things:

A) he is immune to Outwit

B) He basically has Willpower

He is not able to attack indefinitely. Once Surfer has 2 Action tokens on him, he must clear the next turn just like the other characters in the game.

Galactus can continue to attack every turn - but that is because he is a "big fig". Same rule applies to Sentinels and Sinestro (although since they don't have the PC TA, they take push damage).

Does exploit weakness work?

Ya it does, so does Psychic Blast. PC TA does not allow countering of powers which outwit does. But PB and EW ignore the defense powers not counter them.
Hope that helps,
UP5.

so yes Magog can take surfer just like everone else except the one person he is sapposed to take.

I don't agree with ya on that one SilverAgeFlash. My Magog has taken the KC Supes down every time.