Looks good to me.
I have no real world experience towing that exact combination, but I've towed a heavier TT with a JGC and all was fine.
Here's my theoretical (by-the-numbers) take on the combo:
The SP-192T has a dry weight of 3,237lbs and a GVWR of 7,361 and a whopping CCC of 3,788lbs. I really doubt you would ever put in enough cargo to more than double the dry weight of this hybrid IMO.
So, let's say you load up the TT with cargo, batteries, propane and a wd hitch for a total of 1,500lbs and giving you an estimated trailer weight of 4,800lbs or so.
4,800 is much less than your towing cap and the combo should be well under your Jeep's GCVWR.
Not sure of the amount of cargo for your JGC but your tongue weight in this example at 13%-15% of the trailer weight would be about 620-720lbs. You will want to make sure this works for your situation.
DW, 3 Kids and our Goldens
2012 Shamrock 233S
2008 Toyota Sequoia 5.7L 4WD