When the Greenpeace activist dives under the ice in a wetsuit, she has red thermal gloves on. While submerged and using her knife to cut away the net on the baby whale's fluke, her bare hands are visible. When she surfaces, the red gloves are back on.
Throughout the film, nobody's breath appears when they are outdoors, despite the frigid temperatures that they were reporting.
The movie's story is set in 1988, but the characters shown have more modern hairstyles than what they had during the late 80s.