Dry weight doesn't mean anything!
Look at trailers GVWR and take 20% of that figure to give you a better guesstimate what the 'wet' pin weight would be when towing trailer with the stuff in it.
Then weigh your truck camp ready.....all passengers, all stuff in cab/bed plus weight for hitch.
Subtract that number from your trucks GVWR.....got enough left over to handle the 'wet' pin weight number (mindful of RAWR and Rear Tire MAX Load Rating)
On Edit:
That model has a GVWR of 16,500#
20% would be 3300#
Got enough available payload for 3300(+)#??????
GO weight your truck