Continuity mistake: As Mr. Burns and Smithers are talking on the phone, we see a hand holding the receiver, and when they're finished, the next shot shows us a black skinned referee. His skin color was yellow before. Also, the phone is nowhere to be seen.
Continuity mistake: There are several errors in the plant's parking lot: 1, in the overhead shot of the plant, we see Homer drive in, and there are parking barriers on the road. These disappear in the next shot. 2, As he drives in, there are at least eleven parking spaces on the right side of him. Carl takes up one spot, and in the next shot there are about 3 parking spaces left. 3, When he parks, we see several cars behind him, but in the shot before that, no cars are visible, not even parking spaces, and 4, when both Homer and Carl drive in, we see orange lines on the road, which weren't visible in any other part of the scene.