My son bringing back some sexiness to this old scoot.
Notice the shiny rear fender and compare it to the step.
This is very good for scooter's plastics. I'm talking about the step, side cowl etc. but not the painted plastic like in your front fairing (please see picture). Scooters plastics turns white as it ages and if you want them to glow back to life, this is for you. Use a torch and rapidly pass the flame on the plastic. The plastic will turn black again BUT DO NOT OVER DO it because it will melt the plastic. At first ALWAYS try to heat areas that are less visible so that if you ever had a mistake, your mistake wont be visible.
I also use this technique for bringing back some shine on cheap car's bumpers. Bumpers that are plastic, black and not painted. Works well for the same cheap plastic car side mirrors, black plastic mudguards, etc... Do this at your own risk.
After heating up the plastic, you can wax it using car wax to give it an extra shine. Because I'm too lazy, I just spay WD-40 or leather wax on everything. It'll look good but just don't touch it :)