In the outdoor scenes set in the future, the SCBA masks worn are actually only full-face respirators with fume and particulate filters attached. They exhibit no source of supplied breathable oxygen, thus the warning that Nova's oxygen is running out makes no sense.
No explanation is ever given for how Nova's flight suit and space suit change size to fit her when her body is altered between teen and adult.
The drilling plant shown surrounded by land and mountains could not be at the North Pole - The North Pole does not have any land, unlike Antarctica. The ice floating on top of the Arctic Ocean is all that's there.
No explanation is given for how rapidly Nas was able to get from the initial presentation (after Nova is shot) back to the farmhouse.
As the "red alert" alarm is going off inside the base, a soldier walks down the hallway without a care in the world, as if a full-alert klaxon goes off every hour.