How is your trans? To me, this is the weakest point for durability. If your trans has never been fixed of all the seal problems, then plan on a repair later.
I would bet that trailer weighs a little more then you think.
I pull a 7200# travel trailer with a '96 Clubcab 5.9L and it does ok. I put fleet duty brakes on my truck as I was not happy with the way they stopped. It is tolerable now, but I am always aware of my limitations.
As mentioned a WD hitch with sway control is a must with your short wheel base and the 1500's softer springs.
Make sure your tires are up to the task as well (truck and trailer) and keep them at the right pressure for the weights involved.