Goofs

This is the first time the viewer learns of Kinchloe's first name. As he reads his letter from the draft board, the salutation (as read by Kinchloe) is "Dear James Kinchloe..." In subsequent episodes his name is mentioned as "Ivan Kinchloe". Although this discrepancy exists, it does not necessarily mean it is wrong, as many people often times like to be addressed by their middle name, and it is possible that between his first & middle names, one might be 'James' and the other 'Ivan'.

When Kinchloe pretends to imitate Colonel Klink's monocle by putting a coin over his left eye, he is shown with the coin covering his left eye, yet in the next scene the coin is gone, even though he is never shown taking the coin out.

UPDATE: This goof is a goof itself. For those not intent in finding fault with every action on-screen, you may notice that, as Carter pauses on the ladder leading down into the tunnel complex to deliver his "women are like a war" punchline, the camera is on him--and him alone--for a sufficient amount of time to enable Kinch to pocket the coin--off-screen, and without having to spell out every little action to the viewer.

In one scene outside of Klink's office, a production light reflects in Klink's monocle.

As Hogan laid out on the map, Eindhoven and Schweinfurt are only separated by a couple degrees (for the purposes of the plot here). It is implausible that the Germans would move an entire Luftwaffe air wing that is protecting Schweinfurt (a really big target) a short distance to protect Eindhoven when the air wing protecting Schweinfurt is close enough that it would be fully capable of protecting Eindhoven.