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The Giants will have plenty of options with their second round selection, one of which could be to trade up for a RB or TE/OL, depending on what happens with their first round pick.
If they end up taking a tight end with the first pick, then I believe offensive line will have to be the selection in the second round.
Their offensive line was just not good this year and they are not getting any younger.
If they get an offensive lineman with the first pick, they could look to add a running back or tight end depending on who is available.
Chris Polk is a guy I had in mind, but I doubt he'll be available at No. 64 overall. There are also several offensive line targets in the second round they could trade up for, like Zebrie Sanders or Kelechi Osemeli.
I believe running back is a priority, especially if the Giants let go of Brandon Jacobs, but offensive line and tight end are the likely first two picks.