AKs in the big blind

[billyd]

~15 hands into a live 50 player sattelite, top 3 get a $5,000 buy-in to the main event.
I have ~$2,800 and so does the SB (started w/ $3,000).
Blinds are $25/$50, I get AKs in the BB. Everyone folds to SB who raises $200. I reraise another $400. He goes all-in! What is the correct play here?