Make sure none of the imprinted letters, lines etc on "on" the plastic or polishing will remove them. They should be under the plastic.
You can probably use a product like PlastX with a soft foam applicator pad.
Keep in mind, as I detail in the linked-to thread, working intricate, small areas with one or two fingers and creating a "like new" surface is pretty hard for the same reasons it's hard to get a like new finish on a car with a modern clear coat finish by hand.
Thus the popularity of machine polishing.
I've made small foam pads about 1" in diameter for machine polishing for work like this but again... doing this kind of work starts to get real time-consuming and complicated.
If you undergo it better make sure it's not going to simply happen again.
How's the outside of the car look?
Good luck...
:xyxthumbs: