This is how I look at the positions currently.
QB: There clearly isn't a need for a starter or backup. When a team has an established starter who isn't imminently threatening to retire, I prefer just 2 QB's; however, this organization has a long history of drafting and developing QB's habitually so I wouldn't count on it. If they think there's more upside with Calahan, then they can sit tight. Otherwise, throw another dart in the later rounds.
RB: The huge (pun intended) question here is Lacy. I see the case for bringing him back cheap and short term and seeing if you can get something out of him. However, his failure to get in proper shape in a contract year makes me quite skeptical. I lean towards moving on. Montgomery showed plenty to have a spot in a two man backfield. I would draft a back out of this rich class to pair with Ty. Ripkowski has the FB spot on lock down, while Jackson and Crockett can compete with a new crop of UDFA's for the 3rd string spot.
WR: The passing offense is the strength of the team and all the pieces are returning, at least at wideout. That said, most of the success of the passing O is Rodgers and I do think they could afford to add more talent on the perimeter. They could use a vertical threat in particular. With Nelson and Cobb still on big deals, and Adams most likely getting paid relatively soon, they won't want to break the bank here. However, there are more pressing needs high in the draft and it's hard to count on a later pick bringing much to the table as rookies. That leads me to one name in particular: Marquise Goodwin. He's young, he's a capable deep threat, and he should be considerably cheaper than the Kenny Stills and Taylor Gabriels of the world.
TE: It's clear the offense is more functional when there is a receiving threat at TE. As this particular position is notoriously difficult for rookies to make a big impact, it would seem obvious that they should resign Cook. He's really the perfect candidate to bring back, as he's still fairly young and yet his previous failures should scare other teams from attempting to overpay and tempt him to go elsewhere. Plus, one would think that he'd be motivated to resign as Rodgers has really unlocked a lot of his potential. Richard Rodgers is a quality #2. With all of that said, this is a great TE class and they should be looking to spend a mid round pick on a developmental heir apparent. We will see where guys like Butt, Sprinkle, Engram, and Leggett go.
OL: I favor keeping both Lang and Tretter. There is a league wide dearth of OL talent, and I struggle with the idea of letting quality walk out the door unless they're getting offered the moon. Lang's age and Tretter's largely missed season should help keep their costs down. If they're kept, the OL is nearly set-- you'd really just want to find a true backup at guard as Barclay is likely gone and you don't want to force Spriggs to have to play inside again. But OT will be all set with Bakhtiari, Bulaga, Spriggs, and Murphy and center would be good to go with Linsley and Tretter.
DL: Daniels is a quality starter and there is some promising youth here. I would like to see more depth that can rotate. I'm not smitten with this draft class along the defensive front. It isn't terrible, but this is one area where a veteran might make more sense. Lawrence Guy, originally drafted by the Packers in 2011, has grown into a solid rotational player in Baltimore and would be a sensible choice to bolster the front.
OLB: I think it's clear that Peppers is moving on. I would think really hard about cutting Matthews, but I doubt they would do it, so I'm just assuming he returns. Perry needs to be retained and they need to see another step forward from Fackrell. I would find some more veteran help, though I doubt the premier guys (like Ingram or Jones) actually get to the market. Alex Okafor strikes me as a guy who might have some untapped potential. Actually, so does Datone Jones. He's only had one season at OLB and was around the QB, knocking him down quite often despite only registering the lone sack. If he takes a step forward in his second year at the position, he would be a great rotational option. Thus, I wouldn't mind them keeping Jones on the cheap for a year or two and spending a high pick on the position as well. There's a bevvy of first round names to monitor (Barnett, Charlton, Harris, McKinley, Watt, etc), as well as some interesting names that could come up later (Bowser, Nwachuku, Willis, etc.).
ILB: The Packers are notably young and thin at ILB. Ryan, Martinez, and Thomas aren't offensively terrible but they could certainly be improved upon. Given their youth, a veteran makes sense here. Zach Brown has really come on recently and has some cover skills. Kevin Minter is more of a thumper. Korey Toomer, an RFA who probably will be tendered, was shockingly good in San Diego last year and would be a great target if they let him walk. Sio Moore would be a solid cheaper option.
CB: This position is obviously the most glaring. Randall, Rollins, and Gunter should all be back but they need some talent to push them down the depth chart. Stephon Gilmore and Trumaine Johnson are the guys that strike me as having a chance to be true #1 corners. Logan Ryan is a very good player, but I always worry about paying a guy out of NE. They have such a knack for using their players perfectly that there's a real risk of them getting into another system and totally flopping. This draft class is also loaded. If they don't sign a FA (or settle for a lesser one), they basically have to use their 1st round pick on the position (Gareon Conley or Tre'Davious White could be there at #29). If they do land a top veteran corner, they should still take another relatively high (Kazee, Elder, etc.). Micah Hyde needs to be retained as a sub package play maker.
S: The starters are set with Clinton-Dix and Burnett. Brice seems likely to make it back as depth. Other than that the cupboard is pretty bare. I could see them looking at veteran depth and a mid to late draft pick.