The TT specs are:
Hitch Weight 480 lbs
Gross Weight 7000 lbs
Dry Weight 4730 lbs
I would figure about 6000 lbs. loaded realistically but weigh it in the end. That would kick the tongue weigh up 600 lbs. or even a few more.
Here are the towing specs for that model and year.
Tow capacity is at least 9100 lbs. and tongue max 920 lbs. so in great shape there. The only thing left is the yellow stick weights on the driver door sticker (plus weighing the SUV and entire rig on a CAT scale for about $10) to see if there is a payload or rear axle weight issue depending on how the SUV is loaded but it is looking pretty good and safely below the numbers so far.
Your Salem might be much closer to the max on payload and axle.