Cox Stuka and polishing plastic

I use Meguiar's G12310 PlastX Clear Plastic Cleaner & Polish on the plastic parts of my motorcycle, like the fairing parts and windshield on my tourer, on car hard plastic including headlight lenses, radio and appliance plastic. It gently removes hazing from weathering, light scratches. That is available in most auto parts and department stores with an auto section.

For harder etchings, I've used Turtle Wax White Polishing Compound and Scratch Remover, available also in the auto section. It has a mild abrasive, then followed up with the PlastX.

I'd test it first on an inconspicuous spot or on something else to get the hang of it. You may find that these provide a finish much shinier than the original, may take some practice to get a finish that looks inconspicous and blends with the surrounding surfaces.

YMMV (your mileage may vary)