Other mistake: When Worf tells Riker the Romulans were looking for Trilithium on the station, Riker acts as if he never heard of it before, and Worf explains that it is an experimental compound that the Romulans were working on. However, in the Next Generation episode, "Starship Mine", terrorists steal Trilithium resin from the warp engines to sell as a weapon, and Picard seems to know a great deal about it. (00:34:10)
Audio problem: In Stellar Cartography, Data has to reposition his chair to work on another panel. To do so without getting up he places his hands on the panel to pull himself across to the other position. As he does, there is a sound of an electric motor moving him. But as the scene draws to a close and Data gets up, you can see the chair is a dressed up standard office desk chair, with casters, no motor, and no tracks for it to slide on.
Other mistake: Historically, in the Star Trek universe, the doors to any room, including turbo lifts, opened automatically at a person's approach. The only time a turbo lift door didn't open was if there was no car there. This time Harriman touched a control at the right side of the turbo lift doors.