Yes to all that BUT, 32 oz. is a lot of fluid to have to add. And I hope you didn't add ordinary tap water. These scooters call for distilled water or specific non-silicate antifreeze. The aluminum parts in the water pump, thermostat, and elsewhere will be ruined in a short time with tap water or wrong antifreeze. It'll have to be flushed if this is what has been done.
Where did you add? Radiator? Overflow tank? Notice the high and low marks on the tank.
Hopefully it's not any of that and is just the gauge acting up.
My '07 takes no more than 3 or 4 ounces per year in the overflow tank.