You should be ok with those weights. I had up to 19,000 total weight when I go camping. I put a golf cart in the bed and tow a 312BH Outback. Try to keep 10-15% tongue weight and the truck will handle better. Mine is a lot better with the golf cart in the bed then without. I do use a WD hitch with sway control too. I don't have my exact scale numbers in front of me, but when I get home I will post them for you. Next time try to get some more weights, fully connected with hitch, connected without hitch, and the trailer disconnected. This way you can see how much each piece weighs and you see how much weight you are moving to the front.

Your tires show 3415 @80 psi, that is per tire, so you can have 6830 on the rear axles before going over the tire rating.