The ceiling is common property but the paint on it isn’t. Damage to the ceiling should be repaired by the Owners Corporation but if they can prove it was caused by the action of an owner or resident, then they could try to get compensation from them (good luck with that!).
Painting the ceiling where it has been damaged in effecting repairs is the OC’s responsibility but repainting because of damage caused by the original fault is not.
Cracks in the ceiling are an Owners Corp responsibility, regardless of when they happened. Again, good luck trying to prove the problem has been exacerbated by failure to report the problem.