Character mistake: Batwoman does everything she can to rescue the elevator falling down after the villain detonates the bomb, but does nothing for the second one Tommy blows up to make her lose her footing when she is vulnerable. There is no message from Luke telling her anything, and she is not shown having a HUD with thermal readings or something like that, so there is simply no reason why she would risk everything to stop one elevator and completely ignore the fate of the next one which could be full of civilians as well.
Who Are You? - S1-E4
Character mistake: In his drug-induced stupor, Dodgson thinks he is talking to Alice and says that "She" does not know about Mouse, 'She' being Batwoman. Because, again, he is supposed to be talking to Alice. But his last line is that 'She' has big plans for him, and that would be Alice. (00:25:00)