Continuity: During the outside motel scene, there is a maroon car parked outside.  It changes between a Ford Escort and a Dodge Intrepid.

Audio problem: This may be in the TV version due to language censoring, but in one of the helicopter scenes, you can tell that the sound of the helicopter is only a clip about a second long that is being played over and over.

Continuity: When Irene goes to leave the diner after Hank's jokes, his cigarette switches from his left hand, to his right, to his left again.

Visible crew/equipment: At the end of the introduction with the cruising Charlie there is a crew reflection in the windbreaker.

Factual error: The police are informed that Charlie and Irene are 100 miles away. As they board a police helicopter one of the cops tells them they can be there in 15 minutes tops. This means that the helicopter will be traveling at 400 mph. Police helicopters max out at about 130 mph.

Continuity: When Irene falls into the river the hits a rock with the right of her head. When she emerges the wound is on the left side.

Continuity: At the very end when Whitey and the boys are looking for Charley's finger, they are splashing around in a very muddy river, but from the underwater shots the water is quite clear.

Other: When the cow is seen on the road, note the black and white patterning on its hide. At the end, when you see the cow in a neck brace, it has different patterning.

Continuity: In the scene where Charlie shoots the cow, no flame or smoke is seen coming from the gun in some shots, but all the others show flames and/or smoke.

Plot hole: How on earth is it possible for the three of those babies to fit inside that woman, especially for the size they were when they came out?

Other: Throughout the movie, Carrey's Commanding Officer, who is a Colonel, is called Captain.