I confess, I've never seen or heard of a 600 Majesty(?).
Find a riding school. Take prodigious notes, and learn the right way to ride a motorcycle/scooter.
My advice to new riders: do not use the front brake during slow turns. That alone will dump your ass just about every time you try it. Use the throttle and rear brake in slow speed turns, especially u-turns. Give more throttle than needed, then use the BACK brake to slow down or speed up. Hold the throttle steady, vary the back brake. Don't even put your fingers on the front brake.
Learn how to corner. This is not done with shifting your body weight - it is done with the handlebars, that's why they are there. To turn right push gently on the right side handlebar until you get the idea of how your machine will respond, and practice practice practice until it becomes second nature. Same for left hand cornering, push on the left side of the bar and the bike responds by going left. Seems counterintuitive, but that's how motorcycles/scooter respond.
I can't remember how many times I've seen new riders stand a bike up, or brake hard while in a corner. They thought they were going way too fast to make the corner. They didn't know about pushing or pulling on the bar. My own brother did this, once. He finally discovered that big brother was right. He went ass over teakettle and came up just short of hitting a stump. He rode home with some seriously bent handlebars and brake and clutch levers, and road rash on one arm and tore up jeans and shirt. Always always look past the curve in the road, look to where you'll be exiting the curve, and keep your head level to the horizon. Motorcycles and scooters are capable of corning faster than you might think.
Our scooter use sport bike tires for the most part, and they have tons of grip. The problem is what is on the motorcycle or scooter, namely the operator. Learn to look past that sweeping curve and look to where want to go, where you EXPECT to exit the corner, and you'll be fine. Never use the brakes in a corner unless it's a slow one like I described above.
Make pretend that those cars waiting to enter or cross your lane of traffic don't see you. Most of them will, but there's that 1 in a 1,000 that won't. You'll be ready for that idiot that can't see you. He's tried to get me many times. Never even close.
There is so much more to know, and starting with structured lessons goes a long way towards keeping you and everyone around you, safe. It doesn't cost much. You'll learn about how to 'guard' your lane so that cars and other motorcycles are less likely to invade your road space. There's more to it than just driving down the highway next to the center line. Some times you need to be on the fog line (way right) so that oncoming cars that are behind slower cars or trucks can see you. If they don't they may attempt to pass. You WANT to be seen as much as possible.
I've been riding for 57 years without an accident. I'm 75yo and still riding. Never took a learning course but probably should have. I know most all the tricks now, and could probably teach a course in motorcycle riding.
As for your scooter not running, either get a shop manual for it and learn how to fix it yourself or find a bike shop near you that works on sport and cruiser bikes. Just doing the maintenance that hasn't been done can get some bikes back on the road.
Even Yamaha dealers are often clueless as to how to fix a Majesty. Just taking the plastic off they can create a lot of damage. Sport bikes also have a lot of plastic, not as much as your scooter, but enough so they know to take care when removing or replacing the panels.