Thanks for the comments - I appreciate the help. The scooter was serviced in early August, full service including fluids and a new battery. I suspect it was not being used much before and since then. In looking at the battery it is a little low (12.7v) and the readout indicates only 2 'dots' out of 6(?). I did not get an owner's manual with the scooter so it is a bit of an Easter egg hunt locating things.
One other thing that came up in another discussion that I did not find an answer to is the engine kill switch. Is it supposed to be in a particular position (on = the scooter engine will not run, off = the scooter engine will run) when the bike is parked/stored for longer lengths of time and does this affect the amount of draw on the battery?
Meanwhile, I'll check things out and let you know what I find.
Well I think its a good habit to turn off the kill switch when it's not in use but as to it affecting battery draw I wouldn't think so. I think only the key "on" would suck power from the battery. Motorcycle/scooter batteries can die pretty quickly if not used or charged regularly so even with a "new" battery in August, it might be pretty low. I'd purchased a motorcycle trickle-charger and keep it on that when not in use.
When my battery died, it was sluggish to start and yes, the battery display only showed about 2-3 "dots." Mine went bad so fast that it wouldn't even hold a charge overnight. So $65 later and a new battery, no problems.
I didn't get an owner's manual with mine either, but luckily the local scooter shop had a nice employee with one and he copied it for me. PM me and I'd be happy to send you a copy either via snail mail or I can scan it and send it to you as a PDF.
You mentioned how they are supposed to idle a bit fast on startup until they warm. Mine does this half the time, and the other half it just idles normally (I think they should idle about 1400rpm). I haven't set mine on a real dwell-meter/tachometer and set the idle by the dashboard display, with is obviously difficult to get exact. I think my biggest problem is it not returning to idle when I come to a red light. About half the time, it stays revved-up around 3000rpm. I then have to give it a quick 'punch' of throttle, which will knock the idle back down. I still may have clogged jets.
Good luck, and feel free to PM me if you want a copy of the owner's manual.