At 18:32, when Geordi is having the computer list the crew manifest details for Data, the screen reads that Data was activated February 2, 2238 and entered Starfleet Academy in 2341, over 100 years later. Data's activation date should actually read 2338.
When Ro arrives at Riker's quarters, interrupting him and Troi, she uses the chime, requiring permission for access. However, she was able to enter his quarters earlier without him even being there at all.
In the first scene, when Data and Troi are playing chess, Data puts Troi in check. Then Troi moves her piece, which would put Data in checkmate in 7 moves. The rules of chess state that if a King is in check, you must block the attacking piece or move the King out of check before you can move any other piece. Troi should not have been able to move her piece the way she did.
The Lysian central command center is a reuse of the Edo God seen in "Justice".
When Ro arrives, interrupting Troi and Riker's flirtation, a mic shadow is visible above them on the wall/ceiling.
At 24:10, a boom mic is visible on the bridge, between Picard and Ensign Ro.
In the first scene, where Data is playing chess with Counselor Troi, he uses the contraction "I've": "... particularly since I've already taken both of your rooks." For whatever reason, Data has a reputation for being unable to use verbal contractions.
After the crew has their memories wiped, the camera pans to Ro Laren's position at the helm, and, as she turns around, she looks directly into the camera for a split second.