Welcome!

If you're talking about the Mr. Clean Magic Eraser pads, I think it should be ok to try. They're mild enough that I use them on painted walls and wallpaper.

I use a product called Brasso on bakelite and it works great. However, I understand they changed the formula and it ain't worth a darn anymore (I'm still using a couple of old cans). You could also go to an auto parts store and get rubbing compound. It's used similar to car wax and comes in different grits.