As with many space-based movies the whole issue of gravity creates a problem however, unusually, in this case it is a character error as opposed to a plot hole or a revealing mistake. It is revealed at the end of the movie that the space ship has already landed on an earth-like planet, so is is perfectly reasonable that earth-like gravity applies throughout the movie, however the fact that this gravity is present on board should have revealed to the wakening crew that they were not traveling through open space.
While being halfway through shaving (with some sort of laser razor), Bower gets interrupted by a tremor. In the next wide shot he appears to be suddenly done shaving, but he's simply finished and this is a "jump cut" to condense time.
Right after Bower climbs up the ladder out of the small tunnel after asking Payton about feeling symptoms of Pandorum and the Eden mission, he is holding the flashlight in his right hand, the same hand as the gauntlet, as he walks away it suddenly switches to his left hand.
When Bower is attempting to awaken Payton by banging on his tube, it reads Payton from the outside. In a reverse angle from inside the tube, it clearly reads Bower, indicating the tube was reused from the earlier sequence when Bower awakened.