I looked on google a little also & I see the upgraded 80cc cylinder,they also have a cyl. head that they say will work for either the 50 or 80cc... There's no way I can tell whether it has larger ports than the stock 50,they only want $40+ shipping for the complete head.
If it was my little scooter/moped I would get the 80cc cyl. and then find a person who will possibly open up the intake port a little; straighten out the intake tract if possible... so the incoming charge wouldn't have to bend around the corner so much when it flows through.I'd try to look online for someone who does performance work to those little honda type engines.I'd also check to see what type of air filter media it has & if paper, I'd remove that & install some Uni foam in the air filter that would flow more than a paper filter(if he cared more about performance than longevity..),I'd also have someone cut open a a little door along the length of his OE muffler and possibly drill some holes(be careful not to drill too many
) into the inner plumbing of the muffler for more flow and then weld the "door" shut again and rejet the stock carburetor.
I think that he may also be able to do all the same things except for getting the 80cc cylinder and it'll probably give him another 10+ mph;if it was my scooter and I was going w/ this,I'd get the 80cc cyl. and find that little honda single performance guru to straighten out the curve of the intake port.
It's a LOT of work.
What would it cost him to get his license back ?