With trailer brakes, it should be doable. The drivetrain is up to the task as the same drivetrain is used in longer wheelbase Jeep vehicles with much higher tow ratings. The short wheelbase is the problem.
If your Sport is the long wheelbase version, that's even better.
For towing, Jeep recommends changing the rear differential lube to 75w-140.
As stated above, adding a trans cooler for an auto is advisable.
You can download a copy of the owner's manual at jeep.com. It has the towing specs and recommendations.