I would say that the hitch will do the job, but it is close to the limits.
Better than my dealer did... They gave me an 800/8000 hitch for a trailer that grosses 4000#
I gave up fighting with them and ordered lighter bars for mine. Just to show you how ignorant they are: I picked up my trailer after some warranty work with my F350 DRW, CC, PSD. Truck weighs over 7,000# I just dropped it on the ball with just a friction sway control. The service writer was upset that I wasn't using the WDH.... REALLY? I have to wonder just how much experience these clowns really have.
Aaron