When the Tactical team are viewing schematic diagrams of the SUV, they are looking at a drawing of a Range Rover (clearly shows the vertical vents ahead of the front doors). The car that the character is actually in is a Range Rover Sport, which is a different model.
In the two standoffs shown, the FBI would not be involved. The LAPD SWAT would handle calls of those natures.
The blouse worn by Lehman on the second day would violate FBI dress code due to it being unbuttoned too far and too small for her. She'd never be permitted to teach a class dressed that way.