From Cadillac "With the right equipment, the Escalade ESV can move up to 8,100 pounds." They are not exactly CLEAR on what that means !
Besides the weight distribution hitch you need an electric brake controller and the appropriate wiring harness. The dealer who sold you the hitch probably can take care of that.
Personally, I think you will be fine as long as you don't overload the vehicle or the trailer. Simple things, like only fill the fresh water tank 25% and make sure to empty the gray and black water before hitting the road.
Take it slow until you get the hang of it. 55-65 on the highway is fine. Give yourself extra room to stop.