was also going to state see about getting the wheels on the trailer "moved forward or backwards"
you have a ball hitch, that just has a ball on the bumper (not the best by no means)
then you have a frame that fits up under the vehicle that a hitch normally slides into with a ball, different hitchs to adjust for trailer and truck for different heights.
then weight distribution hitch. it has same like frame that fits up under vehicle, with a removable hitch and ball. but it also has a couple extra bars that attach to the frame, and then attaches back to the the trailer.
with you having full size truck, and looking at possible new trailer, you might think about a pintail hitch / trailer. were the connection point is in middle of the bed of the truck. vs at rear of truck.
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it can differ from state to state, but you are normally allowed for X amount of length to hang off back of trailer or out the bed of the pickup truck, before it is a no go or special requirements start happening, from simple red flag on the end to other. to no go.
you might try going to some place that has scales, dump, or recycling place for metal. or some place that sales rock / dirt / mulch. contact them and see if you could park vehicle on scale and trailer off. as you move tractor a little bit on the trailer. to find tongue weight. vs rough guessing / estimating things out.
if you can get a hold of a single axle trailer that is heavy duty enough, drive tractor up on a single axle trailer. and play tetter totter on it, till ya found center of gravity, were trailer was level.