In a rather literal naming scheme: Civilian Police Oversight Agency.
It is called communication
Privateers
They are generally called "supervisors" but many just want to be called by their name.
A civilian,
Yes they can. The military commitment takes precedence over civilian commitments. If the soldier is called to court they can write to the court with a copy of their orders and reference the soldier and sailors relief act that will delay any court actions until they return.
Operating System.
A club adviser
A club adviser
CCC
Executive One
Maitre d'
The person in Mission Control that oversees all team activities and communications might be called a commander. It is also possible that the person in charge is called a captain or pilot, depending on the situation.