Near the end when Root Shoots Hersh, his gun is visible on the floor. In the very next shot of the same scene, when Root leaves, the gun is not visible anymore.
At just after 16 minutes, Finch pulls up a digital map which is shown briefly. It shows a "Cedar Lawn Cemetary," as well as a "North End Cemetary," a common misspelling of "cemetery."
When Root gets medicine from the machine in the hospital, the small door she opens is in fact, the printer. Medicine is only retrievable through the front drawers.
Finch mispronounces real estate magnate as 'magnet' while discussing the subject's ex-girlfriend's father with Reese around the 8 minute mark.