Factual error: Starbuck and Apollo fly into a void and are surrounded by total blackness. This misconstrues the meaning of a space void, which is simply a large area without stars. It does not mean that further-distant stars and galaxies would disappear. They'd still be just as visible as before you entered the void. Even if Starbuck and Apollo were able to leave the galaxy and travel hundreds of thousands of light years into a really big void, they'd still be able to see the galaxy they left behind them.
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Visible crew/equipment: When Apollo has briefed the female shuttle pilots about the the pressure suits, Serina tells him she loves him. Apollo then calls for Starbuck to come with him, and as Apollo walks to the door, take a look at the right side of the fire extinguisher beside the door and you should be able to see the boom mike shadow move.
Continuity mistake: When Boxey plays with Muffit, a red chair on the right sits away from the wall and turned slightly. Boxey and Muffit leave the room as Serina and Apollo argue, and when Apollo walks toward the chair, it is not turned as much and is much closer to the wall.
Visible crew/equipment: After the scene when Apollo and Starbuck go into the decontamination booths, it cuts to Adama, Boomer and the doctor talking. When they walk from the bridge and Adama says "I want everyone who's been in contact with Jolly and Boomer under strict quarantine", you can see the boom mike shadow moving on the wall to the right of the screen.
Visible crew/equipment: When Boxey is playing with Muffit, and Muffit plays dead, you can see a black tape marker by their feet. The marker remains there for some shots, then it's gone. Later, when Apollo and Serina argue about her training to be a pilot and Serina says "He doesn't get a report on every cadet in the fleet", Apollo walks towards the bed. There is another black tape marker where he place his foot, but it wasn't there in earlier shots.
Plot hole: This episode shows that, upon return from "long patrols", pilots are expected to use decontamination booths before rejoining the general population- a reasonable precaution. Strangely, Apollo and Starbuck walk among several ship personnel on their way to the two decontamination booths. If the pilots are walking among others on their way to the booths, this seems one rather pointless process.
Continuity mistake: While on patrol, Apollo enters a void in space, where no stars or other navigational fixes are visible. But in at least one shot, his ship is shown from the left side with stars in the background. It's the shot immediately after Adama says, "That's odd."