Well a rocket and a ship are two different things and rocket ships normally belong to science fiction. But ok this may be arguing about words. Anyway the damage to the ozone layer was caused by fridges and not by rocket ships, it's the CFC gases that destroy the layer.

Concerning the moon I suggest you stay awake tonight and observe its orbit. I'm a hobby astronomer and can assure you that it's still ellipsoidal and hasn't changed a bit except that it moves away from the earth by 4 cm per year. Also the earth axis is still in its place.