Hi my house is insured for propert all risks it has contents insurance but covered for fire and all risk damages.
It also has accidental breakage
Does this insursance cover this screen damage to the anti glare coating?
As it additionally was an accident, the scratch from your daughter, yes I'd say your covered. You have tried to fix it and made it worse.
I'd certainly be claiming if I way in your position.
All the best,