I've read about people pulling really large trailers with similar trucks, all the way up to 8000+ pounds which is WAY more than we need.
A F150 can have up to 8200 GVWR and 4800 RAWR so sure there are F150s that are rated to carry more weight than your F150 trucks small 6800 GVWR and 3800 RAWR.
Basically the same engine/tranny combo so you won't have any issues pulling a 5k dry weight trailer or carrying its hitch/tongue weight/some stuff in the bed.
Just a heads up on Ford 2124 lb payload number from the tire placard sticker. The 2124 lb is a GVWR based payload which is to be spread over the trucks front and rear axle and not all in the bed.
Your truck has a small 3800 RAWR and rear axle weighs 2180 lbs = 1620 lbs for a max payload in the bed. RAWR = the lessor of tires/wheels/rear axle and rear suspension
Your to be commended on posting your trucks actual scaled axle weights and door post info. Sure makes the math simple.
