I will start with the obvious point, that it depends.
I think the only position that is a very safe bet to invest some resources is tackle, but how much? If Vollmer and Solder are brought back next year, do we expect our top pick in the draft to possibly not see the field? I have my doubts, but Vollmer will be coming up to his last season in his contract, and Solder will be bouncing back from injury himself.
Running back is another position that would seem be an obvious need right now, but this offseason? I think its safe to say that Lewis will be brought back slowly, but worst case scenario he comes back after the 8th game next season. White looks like a lock, as does Bolden, so do you want to use one of your better resources on a position that might be your 4th back if each our healthy? Maybe better to go for the sammy morris UFA route?
Wide out I think has the highest ceiling for draft spots, but I do wonder if the team has any questions about working in young receivers with an almost 40yr old qb. I could easily see Dola cut if he doesnt take a significant pay cut. I could see Dobson cut after not cashing in on his chances. I could see Lafell cut for not showing up this season. Tyms is another guy who we cannot plan to count on in a significant way. That means we have one receiver we can count on being a significant contributor next season. So, maybe we bring back the same cast of characters, maybe we have 4 new receivers next season, it could go either way.
Linebacker is another position that I think needs some attention. Mayo might make that need much lower if he takes a significant cut as well, but having someone with some mobility to cover Tight Ends/rbs should be something they try and find in the draft. Its just so hard to find LBs in the league with any athleticsm that dont cost a dump trucks worth of money. I will stamp this as my only definite draftable, but it could be a late round flyer.
Tight end is probably my favourite current target with a top two pick since so much of our success rests on Gronk at this point. Chandlers concrete hands leave a lot to be desired, and would do wonders in freeing up Edelman/gronk. There are a lot of guys available this year that could provide some signifacnt skills to our offense. With Williams and Cleveland on the roster right now, they may look at a more move tight end, but there are a number of guys that are very versatile talents.
Corner might make some sense, depending on what we see over the last part of the season from Leonard. We have a very clear 1-2 right now, which is a huge blessing, but that may have a one year shelf life. They may need to plan on the future with this draft so they arent left without a year from now. I could see them bring back brown as another depth piece, plus they get their young athletic draft off IR. Could be fine, could be a high pick.
Safefty has great depth right now, but could take a shot with Ebner and Wilson coming up for contracts. They shouldnt be terribly expensive, but that also means they wouldnt need expensive draft capital to replace. I could see them keep one and draft a replacement with one of their multiple 7th rounders.
OLB/DE is probably ok, but I keep spreading hate literature about possibly trading Chandler jones this offseason, so that could change draft needs as well.
The only places I dont see any draft resources are DT, C, G, QB. With that said, if someone falls, or a certain navy QB is sitting there in the 7th round, who knows.