When Jane and Lisbon are released from the boxcar that is supposed to be in Mexico, a Joshua Tree is visible. They don't have Joshua trees in Mexico.
When Jane exits the suburban after asking Cho what was he reading. you can see crew and mike boom reflected on the car door.
Judges and prosecutors who are witnesses, and especially complaining witnesses who file the charges, cannot participate in an arraignment of a defendant.
When Cho checks the hitman's carotid for a pulse he uses his thumb.
People who have normal thumbs have a pulse there so a professional lawman would know not to check for life this way.