When the searcher gets stuck on an asteroid, Hawk increases the power to the engines. When it switches to a scene of a gloved hand moving a large slider the uniform arm is blue when it switches back to Hawk he is still wearing his black outfit. This happens twice in the space of 2 minutes.
Asimov attempts to separate the Searcher from an asteroid by ordering "reverse tractor beams". Hawk then announces he's engaging reverse THRUSTER beams.
The angry mob chasing Buck gets stopped at the gates, but in the next cut showing Buck and others fleeing, the mob has disappeared.
The Searcher is a deep-space exploration ship, sent into the farthest reaches of the universe to find the "lost tribes" of human beings. Yet here it somehow finds itself at Alpha Centauri, the closest star to the solar system, at a mere 4.3 light years from Earth.