If the plastic is not coated-very deep and extensive damage can be buffed out using a common electric hand drill and a buffing attachment ( like what would be used to buff a car or table top). Charge the fleece with buffing compounds of decreasing coarse levels (0ften you can buy a kit with three grades) put on your safety glasses and have at it. Finish up with a polish intended for plasic. It takes a while and makes a bit of a mess(bits of the fleece come off) but the results should be good.