Factual error: Agent Carter takes the coded message and decodes it, where it starts with coordinates of 53° 72 minutes north, 27° 37 minutes west, and is told that location is in Belarus. Two problems. 1) The minutes value can only be between 0 and 59, so 72 is an impossible value. 2) The location given (ignoring the 72 minutes problem) is in the north Atlantic Ocean, but they were close. Belarus is roughly 53 north and 27 east (not west).
Continuity mistake: Daniel enters the meeting room in the office and places a file and some documents on the desk. In the first shot, he is shown placing the red file on the desk with some other documents placed on top of it. The shot changes to a shot of Daniel, and the other documents placed on top of the file are no longer visible. The red file is still there.
Continuity mistake: When the alarm in the office goes off, there are clocks visible around the alarm. The time on the New York clock is 10:40. About 15 seconds later, as the agents go into the meeting room, the New York clock has gone back 5 minutes to 10:35. It is definitely the same clock because the alarm is visible next to it.
Character mistake: When the office receives a code red alert, there is a close-up shot of the alarm, where there are two clocks next to it. One of the clocks represents New York time. The other represents London time. The clock representing New York reads the time as 10:40 and the clock representing London reads the time as 4:40. The time difference between New York and London is 5 hours, not 6 (occasionally 4 due to DST).