Yes, full max 80 psi, when cold. This will keep sidewalls firm, less flex, which results in a cooler running tire. This, part of my reason for not over tiring your trailer, then lowering the pressure. I will add, a truck such as yours, when empty, not towing, you will want to lower rear tire pressure, for better wear, and ride. A TV tire does not have near the sideways scrub of a tandem axle trailer.
Just an FYI, someday when looking at trailer again, what axle should be listed on driver's side front placard of FW. It will also have a sticker on the axle itself, if you feel like crawling under the trailer.
Jerry