Motorcycle clutch issue?

I have a kz305 engine that runs great apart from a small clutch issue.

When running and put into first gear the bike won’t go back into neutral gear, however when bike is switched off it goes back into neutral no problem. Also when in neutral the bike tries to pull forward slightly.

I have done a recent oil and filter change and also checked the clutch cable is pulled right in at the engine.

My guess is the clutch cup is worn so I intend to operate but firstly I’d like to know if there’s anything else to look out for?

Is it definitely the clutch cup?

Also clutch lever is quite heavy to pull, anything I can do to lighten that?