Headhunter - S4-E6
Character mistake: Tarrant says they can't land the ship without Slave. Yet in 4-1 "Rescue" he questions the competency of the automatic systems and offers to land the ship himself.
Saga of a Star World (2) - S1-E2
Character mistake: When Starbuck and Apollo cross-wire the lift to reach the lower levels, they forget to undo their handiwork. Convenient to the plot, this oversight allows Boxey to wander into the Ovions' stronghold and require rescuing.