1000 grit wet sand paper, then rubbing compound (Ultimate Compound by Meguiars), then a polish (also by Meguiars). I have done that treatment to the small plastic Mercedes emblem on my center steering wheel as well as to the lenses of my front and rear cameras. Both turned out excellent. I don't know the condition of your lenses, but I would try it by hand first before using a machine. And unless you're going to protect the lenses with the clear vinyl (which I'm not sure if it will help since they are already hazy) I would probably throw on some sort of sealer as well. My friend that does restorations at his shop has just incorporated that into his restoration processes. It may help prolong the life, but ultimately the haze will eventually return. Ideal situation would be glass lenses with a protective film from small rock chips, pitting, and debris because the glass will not yellow or break down because of UV rays or chemicals in the environment.

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1990 190E 3.0L