After Pegasus attacks the base star, Lee orders the helmsman to turn the ship, "left, full." The proper order using nautical terminology would be, "port, full."
Both Garner and his chief engineer say that the breach is venting oxygen into space, but the crack is visibly venting into (not out from) the engine compartment.
When Lee is left with the con, people can be seen running back and forth in the background. But each one visibly slows or stops when they think they are out of view of the camera.
The name "Mueller Steel Company" can be seen on the pipe at time index 35:21. They are located in Ontario, Canada. The Pegasus has been nowhere near Earth let alone Canada.
When Lee is at the conn (time index 34:44) and his watch is seen on the table, the brand name "Gruen" is seen on the face of it. Gruen is made in Germany and the fleet has not been anywhere near Earth as of yet.
There is still visible perspiration on Cmdr. Garner's face after the breached compartment has been completely vented of air. In a vacuum, the liquid would immediately burst into its gaseous state.