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I didn't see any math errors or flawed assumptions....
All the more reason to weigh the trailer and get a good idea of the actual weight.
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There was a 100 lb math error (tire's favor) which saves the tires a bit.
If the trailer has a 4074 Lb max gross wt, and 320 lbs of the tongue weight is transferred to the tow vehicle, and 160 Lbs to the trailer, the load on the trailer tires is Wt = 4074-320 = 3754 Lbs.
I've assumed 480 lb tongue load + 3594 lbs on the tires = 4074 lbs, when the trailer is disconnected.
Therefore, if loaded symetrically, each tire sees 1877 lbs. Seven lbs over, per tire. That's for the trailer with the highest max gross wt allowance (31 series excluded).
Maybe the exercise I went thru is much ado about nothing - if the axle's max is a few hundred lbs more.
Denny_A