They don't need 2 in the second, but it's a possibility. Mooney is great and Byron Pringle (3rd WR in a normal room) just got arrested in Miami last week. They need an X and possibly a slot. They need OL as well, but mostly at RG which can be filled at #71 or later. If they get a chance to do something like Pickens at 39, Moore at 48, and maybe Parham/Petit-Ferere at 71, they have to determine if that looks better than say Pickens at 39, Faalele/Kinnard at 48? and someone like SHakir or Metchie at 71 (if they make it).
While all of these teams have other needs, it's going to come down to evaluations, previous selections and value of other picks. I listed all that COULD take a WR, not WILL take one. If we want to get into most likely I would maybe say Chi, Indy, Cleveland, KC with Baltimore always a wild card with a big need now which are all before 53. I would bet highly that the WR talent goes fairly early in round 2 and say Pickens/Watson/Moore/Pierce will all be gone by 50.