Doctor Russell, at one point, mentions the "over three hundred people" on Alpha. But by this point in the series, several dozen Alphans have died, which would bring the number well below three hundred.
Computer keeps announcing the ever rising 'Power loss rate' in percent. It should however announce simply the 'Power loss' or the 'Remaining power level', as announcing the rate at which power is lost without adding a time period in which this happens is in this context quite useless, as it says nothing about how much power actually is left. Moreover, the rate at some point reaches 50%, meaning that during the time frame the story is set in the power level should long have reached zero. (Note: Alpha's generators are constantly producing power, but a certain percentage was being mysteriously lost before reaching Alpha's equipment; that percentage increasing as time went on. It wasn't the power supply that was being measured; it was the amount of the generated flow of power being usurped by an unknown source).
One of the skeletons found in the cave had visible screws holding the arm in place.
As Luke and Anna's Eagle is landing, the strings lowering it can be seen.
When Anna and Luke see the moon start to move in the sky, the four strings guiding its path can be seen.