During the Jerry Lewis musical parody, Peter's cigar remains the same length throughout even though he was smoking it and occasionally knocking ashes to the floor.
When Peter has Carter removed from the building, the initial shot shows 13 chairs around the conference table, and the last shot shows a shorter table with only 9 chairs.
When Peter's standing at the open front door ready to leave for his first day of work, the street corner can be seen in the background but it's much closer to their house than in other scenes.
The African American Heart Monitor in Carter's room is supposedly monitoring his heart, yet there's no connection from him to it.