The online repair guide that I posted has all kinds of tips to restore a backglass.
What you need to do is seal it with clearcoat before doing any work so the original paint/ink will not peel off so . Plus in the repair guide there are tips to stop it from flaking by using saran wrap.
Once its clearcoated, Brush on the acrylic to touch up the colors around the score reels,clearcoat it again.
I would go to a dollar store and find some star stickers put them on the glass to simulate (like stencils) the stars that were originally there.
Mask off the light blue area with painters/pinstriping tape. Brush on the light blue then remove the star stickers wit an exacto blade. Then paint the stars dark blue. Repeat but reverse the step for the light blue stars on the outside.
then you can use painters masking tape to tape off the clear score holes and paint the whole thing blue. After that I would seal it again with a spray of flat white to diffuse the light
Because it is so bad, I honestly suggest you look online for a replacement, If you do not possess the artistic skill necessary.
The best of luck.