Graves was/is the director of football admin. He was an experienced person for Idzik to lean on and currently is going to handle contract negotiations for Macc(since Macc has no experience in that). Supposedly, he'll be reevaluated post draft as there were rumors that Macc wanted Gene Smith for that role.
http://en.wikipedia.org/wiki/Rod_Graves
Terry Bradway ran the scouting department as senior director of college scouting. Jeff Bauer worked with him as director of college scouting. Brandon Prophet was(currently is although it's expected that he'll be fired post draft) the head of pro personnel(Brian Heimerdinger has been hired as director of player personnel which makes him the head of both pro and college).
That's strange. Everything I have read on him say's his background is in Scouting, and that's why Idzik brought him in. Can't imagine why he would suddenly be the cap guy. Just a sample
Jets hire ex-Cards GM Rod Graves
Updated: June 10, 2013, 2:27 PM ET
By Rich Cimini | ESPNNewYork.com
The New York Jets, continuing to restructure their front office under new general manager John Idzik, hired former Arizona Cardinals GM Rod Graves Monday as the senior director of football administration.
It will be a role reversal for Graves, who served as Idzik's boss in Arizona from 2004 to 2007. The two remained close, and it was reported a month ago that Idzik was targeting Graves for a position. They met as ball boys for the Philadelphia Eagles.
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Graves was fired this offseason by the Cardinals after a 5-11 season, their third straight year out of the playoffs. He spent 16 years with the organization, the last nine in charge of the football operation. He had one year remaining on his contract.
Graves has a scouting background, so he should be a good complement to Idzik, who came up through the ranks primarily as a contract negotiator and cap expert.
Since replacing Mike Tannenbaum, who was fired after the season, Idzik has overhauled the front office, the scouting department and the roster.
The Jets parted ways with three executives, including assistant general manager Scott Cohen. Graves will step into the role of second in command.
The Jets also announced the hiring of Matt Bazirgan as the assistant director of pro personnel. Previously, he was an area scout. Rick Courtright was named the national college scout.
Idzik also had to replace four college scouts, two of whom were let go. He named four new scouts, including former Jets and Houston Texans cornerback Aaron Glenn, who spent last season with the Jets as a pro scout. The other new scouts are David Boller, David Hinson and Christopher Prescott.
Of Tannenbaum's closest advisers, only three survived the front-office shakeup, including former GM and current senior personnel executive Terry Bradway.