Revealing mistake: Carl is supposed to be deaf. However a few times in the early interrogation room with the officers and Kathleen, or just Kathleen alone (during questioning) his body movements and reactions reflect otherwise. Unless he is just keenly aware of his immediate surroundings.
Suggested correction: Looking at the scene that I at least think you were talking about, or any other scene for that matter, Liam Neeson does nothing that I would not expect a deaf person to do. It's not like he reacted to a loud sound that a deaf person shouldn't be able to hear. I see nothing out of the ordinary. Perhaps if you use a specific example.
Revealing mistake: The homeless man attacks Kathleen and she screams. But it isn't until 5 minutes later that Sanger comes to her rescue, when he only left moments ago.