Corrected entry: When Riker's father is talking to Troi, he says Riker has just been offered his first command (the USS Aries). However, Riker was already given a offer to command the USS Drake, which he turned down to join the USS Enterprise. This would be at least his 2nd offer to command, something his father would be aware of given his position, and following his son's career has he has.
Corrected entry: Deanna is originally sitting on the bridge when they approach the zone of darkness, but after Picard tells Wesley to take them in, in the next wide shot Deanna disappears entirely and doesn't reappear throughout the rest of the scene - she only reappears much later when Riker and Worf return.
Corrected entry: When the head Bringloidi starts a fire in the hold, Lt. Worf informs him that a force field will cover the fire until it is extinguished. But in many later episodes you see fires burning, and nothing happens. At most, they will let the air out of the room, but no force fields.