In the opening newsreel sequence, the American flag flying has only 28 stars. At this time there should have been 48.
When Archie leave the brownstone with Fritz, Cramer is giving a speech to a room full of suspects. When Archie returns to inform Wolfe of their findings Cramer is repeating the same words. He should have been further along in his speech.
The NIA, for its promotional video seen at the beginning of the episode uses an 1845 American flag that has only 28 stars on it - at the time this episode takes place, such a flag would be over 100 years out of date.