Answers: With the engine "not running", try shifting through all the gears by rocking the bike forward and fund (don't use the clutch lever).
The transmission should shift fine.
If not, the motor will hold to be disassembled to repair the transmission.
Possible bent shift fork or worn shift drum.
Contact a motorcycle driving conservatory and ask if you can use one of their bikes for your road test at a reduced rate of their course (that's how I took my driving test).
Could simply requirement new clutches.
Hows the pressure on the shift lever when you verbs it in? does it consistency nice and crisp or spongy? If it's getting spongy you may need to drain /replace and bleed the system. Pretty simple on that bike. They be know to wear out the seal contained by the slave cylinder. The one at the transmission. All the above can be done near the engine in the frame. Getting the parts may be a problem for that bike.
Some more detail may serve.
Even though I have be a Honda mechanic for many years I cannot remember rotten the top of my head what type shifter that model have. If it has a linkage type check adjectives the pivot joints for looseness and/or rust.
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