The enlisted man who ushers in all the produce to Tony's office is listed as "Corporal Sam" in the credits, but all "two-stripe" Corporals became "Airman 2nd Class" back in April 1952.
The snow that falls on Colonel Bellows is obviously fake. The flakes are much too large, they fall off of him much too easily, and it never melts even after he has been inside for several minutes.
Sergeant Ben Roberts (Steve Ihnat) states he cannot explain how the flooded farmland turned lake became filled with Trout, Catfish, etc. Roberts never explained from where the cabins came. Farmers do not need cabins; therefore, there would not be one cabin let alone enough to sustain a living.
Tony's X-Ray Vision could not see "P-R-I-V-A-T-E" on the inside of the door marked outside as "Conference Room." The Hallway isn't Private.
When Roger talks about not seeing his family in a year, Jeannie starts to say she hasn't seen her parents in over 1,000 years. However, this is incorrect because her mother (played by Lurene Tuttle) appeared in Season 1 "What House Across the Street?" (1965).