Continuity mistake: When the Warriors are playing cards, Starbuck places his cards on the table near the gold coins, saying "A perfect pyramid. Unless there's a better hand, the pot is mine". His right fingers tap on the table and his cigar is in the ashtray. When the shot cuts, his hand is suddenly up by his mouth, holding the cigar, and the cards and coins have vanished.
Continuity mistake: When Baltar turns to face the two setting suns, we see the lower one at the left has what could be a boat in its reflection on the water. The higher one on the right is over a mountainous area on the horizon. The next shot is of Baltar in close-up, then the next returns to the horizon to show us Baltar's view, which shows just ONE setting sun. The one on the left has vanished though there is room enough for it to have been seen in this shot.
Revealing mistake: In the second shot showing the fleet of Battlestars (from the port side and slightly behind), two ghostly images fly in formation with the three Battlestars shown. They are just above the closest ship (where the narrow middle meets the larger rear section). It seems that the shot may have originally contained 5 ships and an attempt was made to 'remove' the most distant two, leaving the "ghosts".
Factual error: Apollo tells Boxey they're leaving their star system and entering "a whole new galaxy." Wrong. Throughout this episode, the writer confuses solar/star systems and galaxies, which are vastly (literally) different things. Even with hundreds-of-times-faster-than-light drives, Galactica's fleet would need thousands of years to cross between galaxies.
Continuity mistake: The Commandant of the Alliance destroyer is told the homing beacon on Paradeen is no longer transmitting. Yet in the next scene on Paradeen, Michael asks Vector if the beacon has been destroyed, as ordered, and Vector replies that he forgot to do it.
Plot hole: Starbuck and Apollo fool the Cylon basestar into believing they're two full viper squadrons. The Cylons haven't yet fully retreated behind Carillon (they order this as we watch), so their scanners should have been able to detect this deception far sooner than they did.
Deliberate mistake: When Apollo lands the Cylon fighter aboard Galactica, the view forward from behind he and Starbuck is a reuse of the same shot from the prior episode when they landed a shuttle aboard Celestra. Note the headphones they wear, then don't wear in the very next shot.
Other mistake: In the second shot showing the fleet of Battlestars (from the port side and slightly behind), the closest ship has an odd reflection which forms a "pillar of light" radiating down from near the rear of the landing bay. It is an effects error, perhaps created while trying to hide the rod that holds the ship up from below.
Factual error: Apollo's monitor picks up the "Tranquility Base here: the Eagle has landed" message of the first moon landing, complete with a full shot of the LEM sitting on the moon's surface - not from the onboard or outboard cameras, but from several yards away. There's absolutely nothing to indicate that this is some edited rebroadcast (that's one stretch of a rationalization). The implication is clearly that it's live. And when the Eagle first landed there were, of course, no cameras on the moon. (Nor is it necessary to insist that the series would have to be set in the Earth-time 1960s for this to be so. A live signal could take many, many years to reach the Galactica.)