Has there been any air on moon???????????????????????????????????????????????????????

It can hardly be described as air. The Moon does have a sort of atmosphere, but it's density is less than one hundred trillionth of that of the Earth's sea level density. It is probably caused mostly by out-gassing from the regolith, produced by radioactivity.

It's a fact, there isn't air or oxygen on the moon. Which is why living organisms cannot survive there.

maybe but so very thin as to be undetectable
any water vapor may be frozen below the surface. ice evaporates

No. Gravity is too weak.

....God damnit.

Nope

no