They refer to Area 51 as being synonymous with Nellis AFB. Area 51 in reality has nothing to do with Nellis. It is a remote extension of Edwards AFB, located about 80 miles north of Las Vegas. Nellis is an entirely separate AFB just outside of Vegas.
A sign reads "Officer's Lounge" indicating only one officer when it should read "Officers' Lounge" indicating any number of officers.
A Q clearance is from the DOE (which handles all aspects of nuclear power, weapons, design, etc.) - not CIA.
The jets at Nellis AFB seem to be French Dassault Mirage 2000s rather than American jets.