I always think that re-signing with your current team is the most likely thing. There's an element of "the devil you know" with both the player and the organization. Switching is a pain in the ass for both player and team, so I think there's a lot of vested interested by all involved to figure something out.
Definitely, which is why this is exactly what he did last year. He got a new contract and they had a handshake deal that if he wanted out this offseason, they would grant it. They just had a bad year and no reason that this season will be any better so he is very likely gone. Raiders for him, Jets for Carr. If Aaron does go to the Jets, then bunch of different spots for Carr, none that desirable.