tow ratings
I dont believe there is any issue at all with the brakes on the truck. Certainly the truck is rated to tow the weight of the trailer (~ 2000 #) + the weight of the car (~ 3500 # maybe a little more) or around 5500 to 6000 lbs.
I have towed a u-haul car hauler w/ a car on it. Those trailers have " Surge brakes" on them, that are hydraulic brakes (like on a car/truck) operated by the inertia of the towed tlr/car when the tow vehicle applies its brakes. The brakes of the trailer are sufficient to stop the trailer + load (if within its rating). Surge brakes or trailer brakes of some kind are required in most states on trailers over a certain GVW. Ask anyone who tows boats (I have one of those "holes in the water" also) about brakes (and maintaining them

)
Regardless of the GCWR of the truck, the class III hitch is
not rated for over 5000# It does not matter if you have a Yugo or a Tractor from an 18 wheeler, if the hitch is only a class III (again, up to 5000 # GCW) you cannot legally tow anything over 5000 #. Does not matter if the sun is shining or venus and mars are aligned------
NO. Understand that the hitch rating and the tow vehicle ratings are two separate, distinct issues. There are about 3 types of trailer brakes available (excluding big truck rigs), and I have towed with all of them. Surge, Electric, vacumn assisted, and all of the use either drum or disc that are hydraulic or electro magnetically applied. The towing harness provided with the pkg is for trailer lights as well as electric brakes. That does not limit you to electric brakes only.
U-haul, like everything else this day and time is CYA. They do not dictate what the mfg's rate vehicles to tow. They add their own requirements to CYA (actually CTA)) Yes, your truck will tow the weight more than just "fine". The class III hitch could be an issue, depending on the actual weight of the trailer. A tow dolly would be a great way to go, just remember, no sharp turns and get the drive wheels on the dolly or remove DS if automatic RWD. Anyway, if you havnt already parted out the car, then LOL.
