Let's use some perspective here - this Patriots team is not far off at all from being "elite." If they can maintain health next year, and add a few veterans and positions of "need" (Offensive Line, Defensive Line, Wide Receiver), combined with the continued development of rookie and 2nd year players.... this team is primed for another run. Again. Really, especially given how bad the AFC is.
As for free agents... the Patriots have 3 "big" free agents this year: Talib, Edelman and Blount. Of the 3, I would prioritize Talib, and then Edelman and Blount if the money is right.
People bash Talib because he gets injured, but seriously, what better option is there? You're really wanting to let go of a Pro-Bowl caliber Cornerback who changes the entire complexion of the defense and throw the likes of Logan Ryan and Kyle Arrington back into the fire? I would like to avoid that situation. His injuries could actually help the Patriots retain him, as no team will want to pay top dollar for an injury risk.
Edelman was awesome this year... but that just goes to show the Patriots system MAKES slot receivers productive. Edelman wouldn't be half the receiver he is if he leaves New England for any other team that isn't the Denver Broncos. If he wants to return, it will be on the Patriots' terms. Amendola is a better receiver than Edelman (he is)... but people forget that Amendola played the WHOLE YEAR on torn adductors and a torn groin. He is tough as nails. Get him healthy and he WILL put up numbers comparable to Welker's.
Blount was impressive, but as with all running backs not named Adrian Peterson, they are replaceable. If he comes back it will be cheap and as a backup. If not, the Pats will likely draft a RB.