Plot hole: Apollo lectures Starbuck about his appearance, reminding him that they will be seeing Commander Kronus, so he should at least "fasten up" his jacket. But in these shots and every shot after, Apollo's jacket is open, too.
Plot hole: At about 35 minutes into the show, the fuel gauge of the shuttle shows 50 units of fuel remain. Five minutes of real time (and far longer in "story time") after, Starbuck begins counting down the fuel level, starting at 25 and dropping by 5 every 2 seconds. At that rate, the 50 original units should have run out within 20 seconds, and shouldn't have lasted over 5 minutes. 'Real world' use of fuel in space doesn't apply, as the canon of this show suggests fuel use is a constant to maintain motion, even in a straight line. (00:35:05 - 00:40:40)