When Andy and Barney initially meet the "TV people" in the sheriff's office, the rifle rack on the side wall is seen to be in an alternately locked and unlocked state seemingly by magic.
While being introduced to the TV crew, Floyd mentions that he was a deputy once during Veteran's Day to carry the flag. But he was also a deputy in Guest of Honor for founder's day.
Barney puts gun back into the gun rack although the gun rack bar is locked. The gun rack appears locked and unlocked while Barney and Andy talk to the TV group.
The "TV" crew comes into Mayberry with no apparent mode of transportation. When When Mr. Harvey informs Andy and Barney that he is going to phone Hollywood and tell Mr. Jamel to get on a flight from California to North Carolina in the morning. It doesn't occur to anyone that it is odd that he appears the next morning also without any mode of transportation to get to Mayberry.
When Andy introduces the movie guy to Floyd and Goober he calls Goober "Goober Beasley" not Goober Pyle.
In this episode Andy introduces Goober Pyle to the television crew as Goober Beasley.