Other mistake: Throughout most of the sequence in Hugh Hefner's office, the framing of the camera cuts the main character's head off. This is not a cinema error, this is bad framing. The framing fixes itself then goes back to cutting the character's head off.
In the scene where Tucker is talking with Hugh Hefner, the chess board in the background is set up backwards. The pieces are basic Stanton style, and the kings and queens are obviously in the wrong positions.