The numbers will be close.
My 2007 F150 super cab weighs in around 6000 lbs. with me in the seat, a bedliner, track rack rails, some personal items, and a small tool box in the bed.
If your truck is close to that, having a 1000 lb. trailer (probable weight) on the back bumper is going to put the weight of the truck near 7000 lbs. Depending on the GVWR, you will probably only have about 200 lbs. left for addtional passengers and gear.
You take that 7200 lbs, subtract from the 15,200 lbs. and you can only tow a 8000 lb. trailer. 1000 lbs. is already accounted for in the tongue weight on the truck, so if you keep the trailer and the load in the truck lite, the weight numbers just might work.
The 3.55 axle ratio indicates that it is the shortbed version of the crew cab pickup, since the 6 1/2' bed configurations came with 3.73s. That means a 145" wheelbase. IMHO that is bit short for pulling a 33+' bumper pull trailer with a 1/2 ton truck.
My 5.4L pulling about 13000 total weight does admirably in the Appalachian hills. It will pull the steep hills around here in 2nd gear, but I reduce my speed to around 55 mph to prevent the engine from screaming. i just tuck in behind a semi, and enjoy the ride.