Hello and thank you for the suggestions. I have been able to do a bit of testing and I might have additional information that could help indicate the problem.
First, to answer a few questions. The battery is a DieHard 14-BS that came out of the box dry and I had to put the acid in and wait for at least an hour. (I believe this is fairly standard when buying a battery of this type).
The scooter is stored inside 99% of the time and has about 8500miles on it.
At this point, I have been able to reproduce some of the problematic behavior.
Starting from a cold motor (I live in South Florida, so it's not exactly cold here 80 degrees).
#1. I turn on the ignition and wait for the Engine light to go out.
#2. Hold the brake lever (left) and press the starter button
#3. The scooter turns over quickly and begins to run, but quits after 1-2 seconds.
#4. I then turn the ignition key off and repeat steps 1-2.
#5. At this point, the scooter starts quickly and does not show any problems.
I have not yet tested this again with the motor warm but i do not believe the issue is battery related since the scooter starts and fires up fine.
I believe you should have charged the battery after doing the initial acid fill, the directions should tell you this.
on the other, have you cleaned the throttle body yet?
how's the air filter ? clean?