I've never heard of repairing an egg. I meant how long have the eggs been there, are they past the hatch date? I would think nail-polish would be bad for the embryo if it did survive. Eggs in captivity do not typically accidentally shove eggs out, they usually do it because they are infertile.
Elmers glue works great for egg repairs also (late stage holes can be patched with toilet paper and elmers glue.)
I had 3 umbrella cockatoo eggs that I repaired this way and they hatched fine (it was the pairs first clutch and they were not very careful going in and out.) That pair is fine now, and incubates their own eggs and feeds just fine.