I Haven't Told You Everything - S1-E1
Continuity mistake: In the first episode, the pilot of the plane's shoulder rank changes from stars to stripes, back and forth, repeatedly from scene to scene.
Continuity mistake: Episode 15, "FaceOff": Sophia gives Elias one hour to get the buses or else she will destroy Washington. When this happens, the sun is high, and by the time the buses arrive it is already very dark outside. (00:03:05 - 00:34:15)