When Abby is showing the team her recreation of the explosion she says she is rotating the display 180 degrees but it only rotates about 90 degrees.
The evidence bag with the cigarettes and matches is further from Tony and with the contents clearly visible when he starts going through the personal effects of the victim. When Tony is picking it up, it is closer to him at the edge of the table and he has to turn it over to see the content.
When Hayes is Shot, Kate shot him on the right side, but in Autopsy it was on the right.
Tony claims that oxygen is flammable. It is not. It supports combustion but does not burn. A fuel will burn in oxygen.
A matchbook from the aircraft carrier John F. Kennedy has the number CVN 67 on it. The Kennedy was #67, but it was not nuclear, and CVN means nuclear-powered. The correct number was simply CV 67 at the time this episode aired. (It was CVA 67 until reclassification in 1975).
The doctor tells Gibbs and Ducky that the patient went into cardiac arrest and that is the reason she made the explosion happen. If a patient goes into cardiac arrest in a hospital, there are alarms that would go off to alert other personnel and they would come running to help. She never would have been alone to try to resuscitate him and therefore she wouldn't have been able to cause the explosion.
The fire is set with a cigarette and some matches. It's claimed to delay the fire for 12 minutes before it starts. Cigarettes burn faster in high oxygen.
At the hotel, Gibbs asks for the room number of the suspect, and he and Kate go back and forth with the hotel employee at the desk about the legality of him giving the room number. Gibbs asks for the key, the employee hands him a key card and Gibbs and Kate walk away. The hotel employee never gave them the room number.