Continuity mistake: The ground is dry and clear throughout the entire episode in all exterior scenes, until the snow covered ground in the background when Duncan is driving to Ellen's house about 2/3 through the episode.
Factual error: The events of the first season take place in 1962, however, the JAG lawyer representing Sergeant Jenkins wears the Vietnam Service ribbon, authorized in 1965, and the Vietnam Campaign Ribbon, authorized in 1964.
Slouching Towards Bethlehem - S2-E8
Revealing mistake: When Kenya is being held at gunpoint the pistol pointed at her has a visible seam running up the grip and the back of the slide. It's a plastic prop.
Factual error: The FBI agent introduces himself and says "Mike Weston - I did my thesis on Joe Carol at the academy." FBI agents are required to have a university degree, but they don't write thesis' at the academy. A person is either in a university or at Quantico getting trained. They are not writing papers at Quantico. They need the degree beforehand to get in. (00:10:30 - 00:11:30)
Factual error: In the last minutes, the show looks forward to future challenges, in effect a preview of the never-made 3rd series. The oracle says they must find "the golden fleece, woven long ago by the Stygian witches." But the golden fleece, or indeed any fleece, is not a woven fabric. (Today's fleece is a modern invention).
Continuity mistake: Throughout the episode Lieutenant Abbie Mills' lapel mic changes from scene to scene. It goes from the Motorola Commander Speaker Mic to a standard Motorola mic without the orange emergency button, volume control, 16 channel selector knob and 2 programmable buttons.