While they are in France for the Olympics watching the first US team skate, as the announcer is reading the scores in French. The scores on the board do not match the numbers the announcer is saying. He says cinq sept meaning 5.7, however the number in 5.8 or cinq huit. The number 5.7 does not appear on the score board even though the announcer calls it out.
In the press conference at the Albertville Olympics, a photographer has a 500mm lens on his camera (it's the one with a small black disc in the middle of the lens.) This is the sort of lens you would use outside to shoot across a football field or nature photography, not inside.
The first time we see Doug Dorsey, he is in the Olympic village, in bed with a German athlete. As he's scrambling around, getting dressed, he states her name incorrectly. She corrects him by saying, "Ich namen Gita." Even in German, "I name Gita" is grammatically incorrect.
When Doug and Kate are fighting over the stereo music, Kate is already wearing the engagement ring from Hale, which is not given to her until about five minutes (two or three scenes) later in the movie.
When Doug and Kate go out drinking after Nationals, we see Doug take a shot, and Kate take two; then they go dancing. When they come back from dancing, there are only two upside-down shots on the bar - but we've seen them drink three (and presumably, Doug has also had a second, making four).
At the New Year's Eve party, when Doug and Hale are having their little confrontation, Kate is facing the camera between them. She chooses not to participate, does a 180 turn, and walks away, to join a group of ladies across the room. She stops with her back to the camera. In a micro-second(after a poor edit) she is shown on the opposite side of the group, facing the camera.
Doug is hanging on a balk and trys to hit a nail. Then the camera changes position. When the camera comes back to Doug, the position of the nail is different (this happens two times, giving three different nail positions).
When Doug and Kate have their first real practice, she is shown briefly in teal green tights (featured later in the "You want my hands where?" sequence). Kate is then wearing a red outfit with a short skirt for the rest of the sequence.
When Doug and his brother Walter are arguing about a letter from the Detroit Red Wings, near the beginning of the scene Doug lays down some hockey sticks, but when he sits down at the end of the scene the hockey sticks have disappeared.
When Doug first meets Kate, he moves only a few steps towards her, as she is near the edge of the ice. In the subsequent wide shot, they are shown to be in the middle of the rink, some 40ft from the edge, even though they have not moved.
In shots of the skates where the toe-picks are visible, they are the small toe-picks used by beginning and intermediate skaters. At the Olympic competition level, the toe-picks are much larger for use in jumping.
It is mentioned in the movie that the Pamchenko is illegal, but the coach makes the comment "eh, legal/illegal..." and shakes his hand to indicate it depends on interpretation.
The first component of the Pamchenko - the "bounce spin", where the man grasps the woman by the ankles and spins her around - is a highly illegal move in amateur and Olympic competition and is only performed by professionals and/or in exhibition skating due to the high risk of head injury.