When inspecting the girl's Jeep, the agent first says the starter is bad, then the solenoid. She had been trying to start the motor and you could hear it turning over, so the starter was working. The solenoid is part of the starter and when either fails the motor will not turn over.
(at around 6 mins) Director Vance refers to a "former Marine". However, there's no such thing as a "former" Marine. Once a Marine, always a Marine. Ask any Marine. There are retired Marines, discharged Marines, dead Marines, and Marines no longer on active duty, but there's no such thing as a "former Marine".
The origami birds that Sam is making are actually cranes, not swans as he tells Callen.