Revealing mistake: When Adama orders the fleet to "Flank speed ahead", the next exterior shows Galactica, seemingly turning to port, but looking at the landing pod shows the image is a reversed shot of the ship turning to starboard, evidenced by the ship's name being backwards.
Revealing mistake: After an avalanche, Apollo gets off a guy he has sheltered. Around them, in the fake snow, are several chunks of ice or snow. As Apollo moves forward, note how they move less like snow, and just like the Styrofoam that they actually are.
Audio problem: On their way across the mountain toward the pulsar station, Wolfe draws his gun. Apollo says "The Galactica is the only ship in the galaxy that can protect you", then he pauses for a second. Right before the shot cuts, his mouth continues moving but no voice is heard.