Corrected entry: When the Iranian at the airport calls California to confirm the movie cover story, Siegel and Chambers are just returning from lunch. There is an 11 and a half hour time difference between Tehran and Los Angeles meaning it must be about midnight or later in Tehran, yet the plane takes off in daylight. (Jack O'Donnell also uses a ruse about someone's kids in school during the same timeframe.).
Corrected entry: Just after the scene in which the Embassy gates crash open allowing floods of Iranians in, the Embassy shreds/incinerates as many sensitive files as they can. In the scene where the power goes out, as well as the incinerator, the two characters decide the remaining trolley load of files should be shredded with a shredder, which needs electricity to work.
Correction: It was when the incinerator broke down that they decided to shred. After that the power went off.
Corrected entry: The Star Wars sheets in his son's bedroom are from Pottery Barn and were released in about 2006.
Correction: I had those exact sheets in the early '80's.
Corrected entry: Watch the (classic) Mercedes leaving the Canadian embassy: from the inside we can see that the car has "Aero wiper blades" mounted, which are 21st century items.
Correction: Which one? There's three Mercedes around that scene, different models, and different years. The one I think you might be referring to is a late 1970s model (W123 model designation, built from 1976 to 1985). I owned a 1976 of the same model, and it had the same wipers. I owned it in the early 1990s. They definitely were not 21st century wipers.
Corrected entry: When the housekeeper of the Canadian embassy is leaving Iran, we're told this is the Egyptian border but Iran does not have borders with Egypt, not to mention that the flag we're shown is the Syrian one [which also doesn't border Iran].
Correction: The housekeeper was moving to Irag, not Egypt. The flag of Iraq in those days was similar to Syria. But it had 3 stars. The Syrian flag has 2 stars. If you see the subtitles the border guard is welcoming the housekeeper to Iraq.
Correction: They are NOT returning from lunch, they are returning from drinks (they say as much in an earlier scene when they leave the studio after finding out the operation is off), and them keeping the "studio" open late hours is also touched on earlier in the film when someone walks past Alan Arkin and make a statement about how late he is working. So, it's very plausible that they would be there with the mentioned time changes. And the ruse about the school is in reference to Buckhead, GA (a section of Atlanta) which is in a different time zone altogether, and likely a boarding school, as this is one of the most exclusive sections of Atlanta, and the agent is assumed to work out of D.C.