Plot hole: Data calculates the time to reach the Neutral Zone in time by assuming maximum warp speed. After the solution, in the last minutes, Picard orders only warp six. With this speed, they won't get there in time. Aren't they in a hurry anymore ?

Continuity: Watch when Geordie on the bridge calls up Crusher in sickbay. There's a white-haired medical assistant working on someone behind Geordie. Then when Crusher responds to Geordie's page, the same assistant is down in sickbay with her. Then they cut back to Geordie and the assistant is back up on the bridge again.

Continuity: When Beata tells Riker that he attracts her like no other man, her hand disappears from his neck.