No way the truck can pull a FW!!!
First, the short box is a HUGE issue. Not near enough clearance between the cab and FW.
Second, not near enough cargo capacity.
True story: I recently was visiting a friend with a new 1500 reg cab LB. I commented nice truck, but it can't pull a FW. He said, "Oh yes. Local dealer has a 7000# FW in stock right now." I added, OK, 7000# dry, so at least 8000# ready to camp, so 1600# pin wt (20%). Now add 200# for the FW hitch. 1800#. I then opened the door, looked at the yellow sticker (1889#), and added, "as soon as you get in the truck, you are overweight."
Granted, your CCC is 2000#, but if you and wife together, plus her purse weigh over 200#, you are overweight with a 7000# dry wt. FW.