Yes it does. Belichik is a defensive mastermind and knows how to draft. Aaron would finally get the help he needs. 

No, it doesn't. He has better receivers and other players around him in Green Bay.

No, because he won't play there.

The cupboards are bare for the Pats..

No decent QB in their right mind would want to go there.

So far as I know, he's committed to staying in Green Bay.  Things could change in the off season, but nothing has changed as of yet.