The Living Legend (1) - S1-E12
Plot hole: Galactica's sensors detect a second Battlestar, Pegasus- a shock to everyone aboard. Then its commander, Cain, speaks with Adama via video hookup, and announces that he'll be arriving at Galactica momentarily. Yet he arrives in a Galactica shuttle, marked "GAL 356", which hasn't been sent to go get him since they only just now discovered Pegasus exists. Even worse, this is the same shuttle destroyed several episodes ago when it crashed on Ice Planet Zero. (00:10:55)
The Living Legend (1) - S1-E12
Continuity mistake: After Cain leaves the planning session for the attack on the Cylon convoy, Apollo walks toward Adama. In the background is a metal wall unit. At the far right side, halfway down are four small compartments with handles that are all properly folded flush. When the shot cuts to a close-up of Tigh, the second compartment's handle is not stowed. (00:24:55)
The Living Legend (1) - S1-E12
Other mistake: When Apollo confronts Sheba, he says "Well, then we have found a weakness or two, haven't we, Lieutenant?" but the DVD subtitles say "witness or two" which makes no sense in context. (00:32:50)
The Living Legend (1) - S1-E12
Visible crew/equipment: Near the end of Part 1, when Lucifer reports to Baltar that they've located the scout vessels, there's a fuzzy reflection on the back wall of some sort of equipment moving upward and to the left. Nothing in the scene itself is moving that way.