Russ
You can use ordinary screws, but smaller than you'd use on wood as UVPC is tougher.
To make it easier, pre-drill the holes, or use an old fashoned bradawl....Oh, and make sure that the thread goes all the way up to the head of the screw, because what you're fixing it to is only a few millimeters thick.
Chum
howtomendit.com for free repair help, information and advice.
Try fixfault.com to fix general d.i.y.