Welcome to the forum!! Something to keep in mind concerning "Tow Ratings", they are NOT the true measure of what you can safely tow. The weight you should be looking at is the Combined Gross Vehicle Weight Rating. That is the rating the manufacturer says your tow vehicle can be safely loaded to. It is the combined weight rating of the Tow Vehicle and Trailer.
My own experience in this area was less than a success. Fun Finder states my trailer, the 230DS, weights 3883lbs dry, but when I weighed it, completely empty, it weighs over 4700lbs. Add in supplies, and the weight climbs to over 5300lbs. My truck's CGVWR is 9658, the total weight of my truck and trailer, completely outfitted is 9800. That 3883lbs was very misleading.
Your Jeep should be more than capable, just remember the only way to be absolutely sure is to weigh EVERYTHING, the truck, supplies, the trailer, the people in the truck, everything.
2006 Nissan Xterra
B&M Trans Cooler
2011 Nomad 206
Panasonic/Pioneer/Kicker ~ Audio/Video System
Days Camped /2009 / 33