Thanks Ally - I'll check that out when I finish work! I'm going to change the Spark Plug tonight and charge the battery up fully (assuming I can get a bike battery charger at Halfords at lunchtime).... personally I enjoy kick starting her, but the missus had some trouble with it last night (she's only little bless) and she will be using the Scoot more than me.
Batteries come in standard sizes folks. Not all manufacturers do all the sizes though. Bound to be numerous sources for a replacement though. Two points though. If your battery comes dry, with the sulphuric acid in bottles for you to put in when required, then the battery really requires a charge before use. Charging....these batteries DO NOT LIKE FAST CHARGING. The recommended rate is about 0.4 Amps. (Sod all) You can get away with up to 2 Amps if the battery is just low, but not on a flat battery. Do not use a car battery charger unless you know what you are doing. These batteries also do not stand well, and will self discharge fairly quickly. Don't leave them standing for more than six weeks without a freshening charge.
How do I know this? I used to work for a battery manufacturer, and while we did not make these types in the U.K. we acted as middle man for them. I used to prepare them for Lotus cars who use them as an emergency battery. (You cannot open the bonnet with a flat battery, as it's an electric release.
Starter problem...forget the electrical ideas. The starter has an inertia operated bendix. If the starter spins, then it either doesn't spin fast enough (flat battery) or the bendix is stuck! Clean and/or lubricate the bendix. (Just the same on cars!)