Welcome Kymco Owners!
The warranty on these are not transferable. So no, you don't have a warranty. Fully charge your battery before attempting to use it, otherwise you can damage it or decrease its longevity. Once your battery is fully charged and you have checked all connections, you should be OK. If you still have the problem, now it will be even easier to pinpoint since you eliminated the battery and the connections.For your previous battery, a voltage of 11.5v means it was down to 20%. Here's a little breakdown...12.6v or higher - Fully Charged12.5v - 90%12.42v - 80%12.32v - 70%12.2v - 60%12.06v - 50%11.9v - 40%11.75v - 30%11.58v - 20%11.31v - 10%10.5v - Bone Dead
The warranty is not transferable from the original owner to you, but you definitely need to replace the battery.
Thanks to all, for the notes on this forum. Replaced the solenoid this week, and no more no-start / just an audible CLICK problem.Purchased a new one from eBay, search for "scooter solenoid", the seller is "az1imports". The one they sell is a perfect match (ie. connector and size) to the OEM one installed on the Kymco Like 200i. Only thing I did differently was used the OEM rubber encasing, and that seemed to be a better fit to the metal brackets on the frame.One thing worth noting is that the wiring from eBay was shorter than the one that came with the scooter, and made the installation more challenging than it had to.