Reb Brown solemnly removes his hat while talking to Bilko about the missing search party, but in the next shot his hat is suddenly on top of his head again.
During the World War III flashback - the "Russian" car that hits Evanushka has American plates, and many of the Russian soldiers actually have American Air Cavalry patches on their uniforms.
Lighting equipment visible when the search party finds the victims of the mutant attack.