Revealing mistake: Watch closely the two scenes involving the Robot;(1) When the Omega 17 IDAK battles with the Robot you will see pieces of his plastic collar continually. (2) After Verda and the Alpha IDAK disappear you will notice the Robot's lower shutter falls out.
Factual error: The Robinsons exceeded the speed of light due to impurities in chemical rocket fuel. No chemical rocket fuel comes remotely close to the energy content needed to even approach the speed of light. That would require exotic fuels like antimatter. By Einstein's theory of Special Relativity it is impossible to exceed the speed of light with any form of rocket propulsion. Faster than light travel and time travel might be possible with the warped spacetime of Einstein's general theory of relativity and phenomena such as wormholes. For plausibility the opening scene should have been an encounter with a wormhole.