"We saw the Earth destroyed, and in a heartbeat everything and everyone we knew was gone. There were five of us, the crew of the space shuttle Odyssey and we were the only survivors. A mysterious being who called himself The Seeker rescued us and sent us back in time. And now we have five years to live over, five years to discover who or what destroyed the Earth, five years to stop it from happening again..."
Goof: When the shuttle is being sucked into the vortex created by Earth's destruction, the ship rotates with a counterclockwise motion, but the vortex spins clockwise. The shuttle could not have done so without expending a great deal of power to counteract the force of the vortex, more than the shuttle could have possibly created on its own.
Goof: During the chasing scene in the storage facility/laboratory, the men and women pursuing the crew are carrying steel sticks, yet once they arrive in the parking lot and watch them escape, none of them is.
Goof: While in Neil's room working out a way to put the "BrightSky" satellite out of order, Chuck asks his son what it's like for him as a 21-year-old in the body of a 17-year-old. But in the episode before ("The Shatterer") Neil says he is 22! Does Chuck really not know how old his own son is?
Due to Angela driving it's somewhat unlikely that they crash the 'victim' of the car accident at the exact same moment as last time.
Harry Mudd mentions that he put two and two together and came up with five, which is a thought experiment brought up by Fyodor Dostoevski in his philosophical book, Notes From the Underground.
Goof: When Dr. Steiger falls on the couch after being killed by Gus, there is no blood on his back and his suit is not damaged. Of course there should be from the way he's been killed.
In the "previously on Odyssey 5" intro, it is said that the scientist Chandre won the Nobel prize for mathematics. It is common knowledge there is no such prize- the Nobel is given only in Physics, Chemistry, Medicine, Peace, Literature and Economics.
In this episode Kurt Mendel says he is an atheist, but two episodes ago in "Half-life" he corrected Angela Perry when she called him an atheist. He said he was agnostic.