Character mistake: Picard and Data are playing poker at the beginning of the episode. Before the actual faces of the players are revealed, we are shown close-ups of their hands as they put down the chips for the bet. When Picard says his first line in the series it's "See", and it is literally true, because in the previous shot, Data put his 5 cards down on the table and face up. (00:00:50)
Character mistake: Dr. Agnes Jurati, one of the Federation leading scientists, is bored during the hyperspace travel, and so she chats a bit with the captain. While she gives her quirky speech, she casually mentions that "there are over 3 billion stars in our galaxy." She's not wrong, technically, but the number of stars in our galaxy is estimated between 100 and 400 billion. She is way off. (00:08:40)
Character mistake: Seven of Nine asks Tallinn to lay down suppression fire, so they "split up." She explains "We have twice as many chances to get to the ship if we divide and conquer." 'Divide and conquer' (Divide et impera, for the Romans) means to keep the opposition weak by favouring the conflict between their different factions. It is not used to describe splitting up your own forces to have better chances to make it out of a trap alive.