Corrected entry: In several episodes (notably in Season 4 episode 13 - Chuck Vs. The Push Mix), General Beckman, the Director of National Intelligence, refers to "my superiors." First, the DNI reports directly to the President of the United States. Also, a Brigadier General would never be elevated to that position. Thus far, all of the DNIs have been civilians, but if a military officer were appointed (presuming this would be legal) it would certainly be a four-star General, who would likely immediately retire from the military and then be appointed to the position (David Petraeus taking the CIA Director appointment comes to mind).
Corrected entry: When Chuck flashes on a Volkoff safehouse there are images of Vivian. However, Chuck's Intersect data was uploaded BEFORE Vivian took over Alexei's company.
Correction: There's no reason Vivian would have to be part of Volkoff Industries to have connections to the safehouse. Vivian Volkoff is Alexei Volkoff's daughter - her photo could be in that flash for absolutely any reason, regardless of the fact that she wasn't working with them at the time.
Correction: Beckman is not the Director of National Intelligence. She works for the National Security Agency, within which she would have superiors.