Archie's American flag pin on his coat changes size from when he is first shown being in the lock-up to when he shows off the flag to Guard Callahan.
"All in the Family" shot each show twice consecutively, and often took the best scenes and shots from each to make one full show. Here, in the jail scene, Archie's shirt keeps changing (top button open/closed/open/closed), and the U.S. flag on his jacket keeps changing (small/large/small/large) due to using footage from both shoots, where O'Connor wore slightly different wardrobe for each taping.
The episode takes place on a Sunday. Edith makes reference to watching soap operas that day, which wouldn't be possible.