I agree that it sounds like the shift gates or more likely, the shift lever end is worn allowing the transmission to be bound up in two gears.
I would remove the shift cover. Inspect the gates. They "should be" all lined up in the middle when in Neutral. Get a big screw driver and move each individual gate to the neutral position. BUT (important) don't just force it. Have a helper rock the tractor forward and backward while you are doing it. If you are a lone worker like me, you can sort of lay on the side of the transmission and move the wheels with a foot. Sort of. Sometimes just jacking the rear end up so there is no pressure in any direction on either tire is all it needs.
With the cover off, inspect the shift lever. Use your dial caliper to measure the shift balls. They should be round and 0.500". If not, you will need to either weld them up or replace the lever. The lever is now being reproduced (I am fairly sure it is anyway). I just welded mine up then filed them back to the correct diameter. It took $0.03 of material but a while with the file.
Also while it is partially apart, replace the 3 sets of shift detent balls and the springs that push the balls into the shift rails. They get weak and the balls get worn to a smaller diameter. That allows for slop in the selection of the gears and that can also cause (or contribute to) the issue.
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