When I removed my rear wheel of my LIKE200i for a new Michelin at @ 14,000miles, I took the wheel and new tire to a Vespa dealer and used the opportunity to have the Vespa mechanic use his press to replace the bearing in the rear fork. I don't remember that he charged me for it.
Purchased a very good quality bearing from ebay for @ $7. Japanese.....though it looked exactly like the Kymco bearing. For $7, I figured let's do it while the fork is in my hand, and he has the proper equipment for installing bearings in scooters!
Stig
Is that the bearing that's in the bracket to the right of the rear wheel? The one that supports the end of the shaft?