Continuity mistake: Dr. House is listening to a patient's heart with a stethoscope. However as the shot cuts to his face you can see the stethoscope is not in his ears.
Audio problem: Just after House has diagnosed the nun, one of them comes out to thank him. She says, "When I break my leg..." but her lips don't move.
Answer: She would have No Reason to know it belonged to the CIA. If she did know he went off in the helicopter, all she would know is that it wasn't an ambulance helicopter.
Greg Dwyer