The scene in Engineering with Lt. Cmdr. LaForge and Dr. Crusher. Gordi's rank insignia is reversed. Instead of the normal 2 gold pips and 1 black pip, which he normally wears, he's wearing 1 gold pip, and 2 black pips, which doesn't exist in Star Fleet.
When Commander Riker and Counselor Troi exit 10 Forward and get in front of a turbolift, the left door emblem, which designates the deck they're on, shows 08. 10 Forward, by its name, is on deck 10, not 08.
When Geordi and Beverly are in Main Engineering, Geordi's lieutenant-commander pips appear as two outline and one solid (from left-to-right as if being worn). The true order is two solid, one outline; the outline pip shows an intermediary rank.
Flipped shot: in the opening scene, Data's rank pips are shown in the wrong order, (pip pip half pip) they should be half pip, pip, pip.
When Picard talks to Alkar on the planet, the boom can be seen at the top shortly before Alkar tells Picard about his ability to channel his unwanted emotions to others.
When Alkar leaves Sickbay for his quarters after seeing Deanna's corpse, Picard orders Transporter Room 2 to maintain a lock on the woman in Alkar's quarters in order to quickly beam her out of danger. Later, when Dr. Crusher revives Troi while Alkar is in his quarters performing his meditation, Picard calls Transporter Room 3 to beam the woman out.
When Ambassidor Alkar asks Counselor Troi to help him with his mother's funeral ceremony, he says she can help because of her "impathic" abilities. Instead, he should have said "empathic".