When Riker is talking to the Boimlers in his ready room, he is standing in front of a window showing warp trails and a moving starfield. The starfield changes direction from shot to shot: in the first shot both the trails and starfield move to the right. In the second shot the trails are moving to the right and the starfield moves to the left. In the third shot both elements are moving to the right again.
Jet is shown with one pip - an ensign. But in "Cupid's Errant Arrow", he was a full lieutenant. However, this is explained at the end of the episode: In "Cupid's Errant Arrow", he simply has a kernel of sweet corn on his collar next to his ensign's pip.
The Ceritos crew kept calling the vessel Collector Hauze kept his collections a ship. But from its design, it would best described as a space station.
No explanation is given as to why a transfer back to the Cerritos required a demotion on Boimler's part. Demotions are usually only given as punishment and by all accounts Boimler had performed his duties admirably.
The crew is shown going to take sonic showers. They're all wearing towels, which wouldn't be needed as they're not going to get wet. The towels can't be for modesty either, because the showers are mixed-sex.
The dead Collector has set booby traps to prevent anyone from stealing from his collection, even after his death. Yet the traps cause considerable damage to his collectibles (some even involve dropping and smashing display cases containing valuable artifacts). If he was really so concerned about keeping his collection intact, these sorts of traps would not be the way to do it.
One of the booby-trapped rooms aboard the Collector's ship includes two sets of traps: giant mechanical arms suspended from the ceiling and a furnace with a magnetic pull. The magnetic trap renders the mechanical arms useless.
When Boimler is reminiscing about the type of missions the Enterprise-D performed, he mentions that they insurrected. However, that was the Enterprise-E that did the insurrection on the Ba'ku home world.
The crew from the Titan muses that Riker must have been bored serving 7 years aboard the Enterprise. Between the Enterprise D and E, Riker served aboard the Enterprise for more than 15 years, serving roughly 8 years just aboard the D.
When addressing Boimler and his transporter clone, Captain Riker refers to them as "Mister Boimlers." Grammatically, it should be "Misters Boimler."