I buffed out the safety plastic with some Novus. There are still a couple deeper abrasions but it's a lot better than it was.
The picture has never been particularly bright, but I figured that was just due to the age of the picture tube. Well, I was about to put it together when I decided to check the HV with my Pomona probe.
It's only 6 kV when it should be about 7.5 kV. I also did a dry run an discovered I can't get the vertical to fill the whole visible screen. I guess I have a little more work left