Here's another tip if you have a router. This also works if you want to add a plastic overlay to a panel that has been cut already.
If you haven't already, do all the work you need to on your panel, including all the holes and the outside edge.
Leave the protective film on the Lexan, acrylic, whathaveyou.
Clamp the plastic securely to the face of the wood. Make sure it can't move!
Flip over the panel and drill a pilot hole large enough for your router bit from the bottom side of the panel (keep them toward the center of your holes)
Place a laminate trimmer bit in your router and adjust the plunge/depth so that the bearing rides on the inside wood wall and clears the thickness of the plastic.
Place the router bit through the pilot hole, switch it on and carefuly follow the contour of the wood.
If you adjusted the depth properly, the bearing will make sure everything stays true to the wood.
Do this for every hole.
Now install about 4 buttons into the holes toward the center of the panel and tighten the nuts well. This will hold the plastic in place for the final cut.
When you are satisfied that the buttons are holding everything in place, and they won't interfere with the path of the router, use the same bit to cut around the outside contour of the panel.
Remove the buttons and peel the protective paper from the plastic. If all went well, you should now have a nice, clean plastic overlay that pretty exactly matches your wooden panel.
But as with everything, YMMV.

RandyT