There are 3 screws, not 2, that hold the plate in. Two of them also attach the spring clips for the distributor cap. You'll also need to remove the insulator block that goes through the side of the housing. I just rebuilt a Delco distributor yesterday. Giving the centrifugal advance system a good cleanup and lubrication is part of doing the job correctly. Look for a polished spot on the bottom of the screws that hold the points down, and score marks on the advance assembly from rubbing on the screws.
Jerry