sounds like you got key situation handled, which is good because that can get costly.
for future edification, the lock cylinder that is welded to the frame is available as a spare part.
anyway, since it's mostly open, I'd probably replace any of the single use clamps on the cooling hoses. if you haven't done a coolant flush it would be a good idea. do a thermostat at the same time, it's cheap and easy. check the coolant tank and cap carefully for any kind of deterioration, for some reason them things like to turn into dust.
check and lube the steering bearings, along with the throttle cables and controls.
you can pick up an aftermarket pump for the fuel pump off ebay and amazon pretty cheap, but the assembly requires a bit of modification, and the whole thing might be compromised anyway. personally, I like sticking with the OEM unit and it's plug and play. also it's a tad involved to swap a pump, so I don't like to gamble on aftermarket parts there.
https://scooterpartsco.com can sort you out on the pump (and whatever else you may need).
the variator doesn't get any lube. just check and clean. give the belt and eyeball and see how it looks. all the rest you got it.
I didn't see it on the list, but def check the air filter. it's likely dust.
everybody already told you, but I'll add: do the tires.