While doing the inventory check, Schultz reads off, "100 Kilos black pepper." He then puts the card in the back of the stack of cards, and stops with his hand on his stack of cards when Klink asks, "Why so much black pepper?" The view changes to a close-up on Schultz, holding the next card in his hand as he replies, "It helps with the potatoes." He never pulled the card out, it just appeared in his hand.
Lt. Schmidt is a member of the Waffen-SS, the combat arm of the SS. The Waffen-SS wore field gray uniforms, but Schmidt wears a black cap.
The two SS officers Milheiser and Schmidt are wearing Wehrmacht caps (with a Reich cockade framed by an oak leaf wreath), while they should be wearing SS caps (where cockade and wreath are replaced with a death's head symbol).
Every reference to Milheiser's aide uses the name 'Dönitz' or 'Leutnant Dönitz' - not Schmidt. The implication is that, after the slide for the closing credits listing Willard Sage as 'Lt. Schmidt' was made, the script was changed to use the name 'Dönitz'.
There is a reflection of production lights in Klink's monocle.
On the first of the month, Milheiser and Schmidt visit Klink to collect. It is obviously daytime. After Klink tells Schultz that he would be going to meet Milheiser and Schmidt at Hilda's Hofbrau that evening, there is a fade-cut to Hogan closing the barracks' door. It is now dark outside, indicating it is night (or late evening), and getting close to time for Klink to leave. Schultz would have gone to tell Hogan about the situation immediately, rather than waiting until the evening.
The whole last segment in Hilda's Hofbrau makes no sense. If Hogan had the money that Klink had pledged, he would not have told Hilda that they needed to leave. Also, he would not have tried to march the gang out the way he did. Instead, he would have waited until Klink got called out for not having the money, then swooped in to save him.