Continuity mistake: After Shultz has been discredited, Klink is taking away the "badges of rank". When Klink goes to crush the monocle Shultz was wearing, he has his monocle on. After the shot cuts to a closeup of Shultz's monocle being crushed, and widens out, you see Klink's monocle is suddenly gone. It remains missing until Klink goes to the hat rack. The shot cuts from Klink, to Hogan and Shultz, then back, and the famous monocle is suddenly back, both without Klink stopping to take it off, or put it back on.
Add timeMovie Nut
Factual error: Hogan calls the radio detection truck "radar" when he orders the SS guard to switch it off. From other episodes, we know that Hogan knows what radar is, and back then, the difference between radio homing equipment and radar was even clearer to people than it is today, because radio homing was an established technology, while radar was brand new, and most people were not even aware it existed.
Factual error: Baker picks up a lot of static in his radio, then suddenly signs off and says "Sounds like the radio detection unit picked up our signal." Unlike radar, radio signal homing relies entirely on measuring the signals emitted by the transmitter that is tracked. It works by comparing the strength of the signal arriving at each component of an array of directional antennae. The process is completely passive and does not cause any alteration of the signal measurable at either receiver or transmitter at all, and certainly not any audible interference or humming.