The characters in the Galactica universe are all supposed to say "yahrens" instead of "years". However, when Cassiopeia tells Starbuck about the Geminese Sunstorm, she says it "happens only once every seven years", not once every seven yahrens. The President of the Colonies makes a similar error when saying that this is the "first peace mankind has known in a thousand years."
Just after Apollo and Zac are attacked by Cylon fighters, Apollo asks Zac how many fighters he can make out. Zac looks at his scanner and says, "Four." The scanner shows five even though there are actually only four fighters behind them.
After Zac's Viper is hit by Cylon fire, the camera shows the left side of Zac's cockpit missing in a few scenes. The first time is shortly after Zac says, "Come on, baby. Not much farther." This happens again after he says, "Patrol to fleet. I need help."
Shortly after Apollo and Zac launch, as they make a turn there is a very brief moment when a Cylon Raider is visible in the lower left hand of the screen (only on the New Box set, Saga Of a Star World)