An employment lawyer says the images could bring the airline into "disrepute", and may amount to serious misconduct.
The photos show a pilot posing with a blow-up doll inside an aircraft. It is understood the images were shared to Facebook and Instagram.
Another video, which appears to have been posted to Snapchat, shows a flight attendant moving through the cabin, spitting water.
The video is captioned: "Wish I could spit on passengers like this".
An Air New Zealand spokeswoman said the airline was "shocked and appalled" by the images.