" It is hard to start (10 to 15 minutes of trying) the first time in the morning."
This is your problem. You have a bad choke, not a choke exactly but an electronic control for the enrichener circuit.
It's also possible that the low speed jet is plugged.
A dose of carb cleaner is easy, cheap and often very effective.
After that, I repeat my suggestion of contacting Honda's Owner assistance phone number so they can "help" your local dealer actually find and fix the problem.
Has anyone even changed the spark plug yet ?
That is highly recommended too.
I can't imagine the tiny little battery in a scoot staying alive for "10 to 15 minutes" of trying to start either.
Buying or borrowing a small battery charger would go a long way to proving whether or not the electrical system or battery is really the root of the problem. Once you grind it long enough to make it almost dead, it would take a LONG ride to charge it back up completely. Some external help might be needed.
Bottom line: you need to stop "searching" and start doing something to narrow down the problem.......or twist Honda's tail to get the problem fixed.