Hi Dave
Acrylic, especially cast acrylic can be polished fairly easily using micromesh and then T cut or brasso ( there are also part 1 and 2 specialist polishes available ). Most scratches can be eliminated by this method though deep ones will leave the surface slightly dished
The edges can be filed then sanded as well as possible and and polished on a buffing wheel or another fairly simple technique is to flame polish which just entails slowly running a pencil sized flame along the edge which melts and polishes the plastic. Suggest practice on scrap but any cheap small blowtorch does the job. It's quite satisfying to watch the edge transform behind the flame (yep I'm a sad person :neglected:Don't get out much)
Bob