Toy haulers run a bit heavier on hitch weight...
Also, look at the door jamb and see if you can find the cargo capacity, don't know that...is it the v6, or the Hemi 5.7? Towing capacity can be a lot different also, depends on the trim level too.
Does the truck have the tow package? i.e. factory hitch (should tell you how much the hitch is rated for) and tranny cooler. Not required mind you, but you are talking 5500-6000 pounds after loading everything.
So I can't say it'll struggle, or tow just fine. You could have a tow capacity of 10k plus or 5000.