Some observations:
1. The picture of Eric and Jeremy at the clue box has NOT been flipped. Notice that his jacket is buttoned left to right this is the way a man buttons his jacket (women do the opposite, but don't ask me why.) Also note that the center onion dome behind his is red; the center dome from the red square side is blue. This shot was taken outside of red square (I doubt the Russians would even allow CBS to set up multiple cameras etc in Red Square where access is very limited being next to the Prresidents office in the Kremlin which forms one side of Red Square (GUM department store forms the other). So I believe that this shot is in the plaza before you get to Red Square with Russia House to the right and the Kremlin to the left. For me it looks like the sun is just about to come up so it is probably around 7:30AM. The light on their faces is not from a rising sun, it is flood lights provided by the camera team.
2. The picture of the "wedding cake" building although similar to the one up in Sparrow Hills which is the Moscow State University is not of the University. The University is in a park setting up in Sparrow Hills (formerly known as Lenin Hills and offers a grand view over all of Moscow). This picture looks like it is on a busy street. It could possibley be the Foreign Ministry or the Ukraine Hotel two more of the seven Stalinist Gothic structures known as "wedding cakes". All of them are pretty much the same. The Foreign Ministry is on a very busy street Smolenskaya Ploshchad near the shopping area of Ulitsa Arbat. The Ukraine Hotel looks out over the Moscow River on one side but on the other side it is on Ulitsa Novyy Arbat which leads right from the river to Kremlin and Red Square. So it may be that this is from a cab heading toward the Kremlin: St. Basil's Cathedral, Alexander Gardens the site of the Tomb of the Unknown Soldier, Bolshoi Theatre, National Hotel and the Manege (more about this below)
3. The vidpix of the building with columns is I believe the Manege on Manezhnaya Ploshchad. It was built in 1817 as a parade ground for the military. After the roof collapsed in 1823 a clonnade and Frieze was added to the exterior and columns to the interior. It is now a central exhibition Hall and was the site of the famous Kruschev-Nixon debate. It is just west of the Kremlin. This could be the site of the dancers, orchestra and doll display.
I have asked Puddin to post some of my pix which adds color to this report.