Factual error: The show is suppose to take place in New Jersey but when detective Triter pulls House over and shows his badge, it's an LAPD badge. (00:57:00 - 00:59:00)
Continuity mistake: When House writes "temporary psychosis" and circles it on the white dry erase board, both the words and circle change repeatedly in the following shots.
Continuity mistake: In Season 2, Episode 17 - "All In", the young patient goes into respiratory arrest. You see the doctors remove the pillow from underneath his head to put the breathing tube in, but in the next shot, the pillow is back.
Factual error: During the differential, Chase suggests the underlying condition is a systemic infection. House says this is unlikely since the patient received IV antibiotics the previous week. However, the doctor in the intro scene remarks that he thought the patient had C. Diff, which is treated with oral vancomycin, not IV. Oral vancomycin has next to no oral absorption, and would not treat a systemic infection. Moreover, even if vancomycin was orally absorbed, it would only treat infections caused by gram positive organisms and not other infections caused by gram negative organisms. (00:12:30)
Factual error: When Andie is going in for her MRI, Chase starts the machine with Andie's steel IV pole in the room. No doctor would ever do that considering the damage that would be done to machine and patient. (00:05:45)
Continuity mistake: At the very end of the episode, House enters the conference room and stands up in front of the whiteboard talking to his team. When he first enters, the board is full of writing, then in the next shot there are only a bit of marks here and there.
Plot hole: In the scene with Mikey in the NICU, the alarms start to go off, stating that he is in distress. The nurse screams "He's in V-fib!" and everyone rushes around him. In the next shot they show the heart monitor just before Chase shocks Mikey's heart. The problem is that the heart rate is so fast with one wide complex that it would actually be Supraventricular Tachycardia with 1 Premature Ventricular Contraction (SVT with 1 PVC), which is far less serious than V-fib and wouldn't require the heart to be shocked.
Factual error: When going into anaphylactic shock, the patient is given epinephrine in her forearm. Epi would be given into her lateral thigh, or deltoid muscle. The forearm would be the least ideal place for an IM injection.

Continuity mistake: Right at the end, baby Maxine and her parents exit the elevator, probably on their way home. The lily bouquet, first held by the dad, jumps into the nurse's arm consecutive shots. (00:39:30)
Continuity mistake: When Mark loses feeling in his legs, the same blond nurse that is already in his room is seen in the next shot where House and Stacy are rushing off the elevator.
Revealing mistake: When the boy vomits on his girlfriend, the liquid comes from nowhere near his mouth. It comes from around his chest. (00:18:40)
Continuity mistake: When the young swimmer is about to dive, you get a close-up of both her heels going over the edge. Then, it shows a further shot with only one heel over the edge. Later in the same scene, the girl is underwater and you see her hair flowing around her face. When she lifts her head out of the water, her hair is tied up.

Continuity mistake: Right after House has given the speech he and Wilson step outside and House removes his tie. After this his shirt collar changes between almost every shot, from being tucked in his jacket to being on the outside of it.
Character mistake: In this episode we learn that Chase is 26 years old. His parents were divorced when he was 15, and this was stated as being 15 years ago, which would make him 30, not 26.
Deliberate mistake: When a patient who is given CPR is seen in the shot, the person giving the CPR does so with bent arms (the correct way to do it is with straight arms). This is deliberate, as straight-arm CPR puts in an amount of strength that frequently breaks ribs. Many films do CPR with bent arms rather than straight to avoid harming the actor.
Continuity mistake: About 5 minutes in, when Foreman struggles with opening the coffee package, House rips the entire top of the package off with his teeth. In the following shots, you can see that the coffee package merely has a corner ripped off.
Continuity mistake: In the scene where House is in Wilson's Office and House needs advice about what to tell the rape victim, when the shots change between lines, the direction of the cane's handle changes with the shots.
Factual error: There are several episodes where doctors continue to defibrillate a patient even after s/he flatlines. A flatline (asystole, where there is no electrical activity in the heart) cannot be corrected by defibrillation, which stops a heart that's in an abnormal rhythm and gives it a chance to start in a normal one (the heart has already stopped when there is a flatline).

Continuity mistake: Max's mom, without her glasses, runs out to call the nurse after Max starts seizing. Her glasses appear when she re-enters the room. (00:28:20)
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