As you may have heard, the Packers decided not to re-sign AJ Hawk this offseason, so ILB is a pretty apparent need. Remember last season when they moved Clay Matthews inside? I doubt they want their star pass rusher doing that again this season.
You may have also heard that they brought back veteran DT BJ Raji, who's coming back from a triceps injury. The Packers could be interested in a promising young DT to provde depth behind Raji and Pennel. Or they could wait until the later rounds to address the DT positions, which is what I think they'll end up doing.