Can I get Full veteran status?

OP have you played any Battlefield games besides Battlefield 3?  I asked because veteran status is calculated by taking the total number of Battlefield games played and subtracting 1 (i.e. if you played Bad Company2 and Battlefield 3 your veteran status would be 2-1=1, if you have only played Battlefield 3 it is 1-1=0 or no veteran status) because you are only a Battlefield game veteran after playing more than one game - veteran status is not dependent on rank in Battlefield 3\4, only the number of Battlefield games that you've played in the Battlefield series so if you haven't played all 11 Battlefield games (some are PC exclusive and a couple console exclusive) you cannot get "full veteran status".

The easiest way to automatically update your veteran status is to play the Battlefield games while logged in with your Origin account - this will automatically update your status.  The veteran page here http://www.battlefieldbadcompany2.com/veteran is the next best way to update the status manually, for newer PC\Console releases it will automatically update when you hit "refresh veteran status" or play the games while logged in with your origin account.