While the doctor and Ensign Vorik are discussing Vorik's condition, Vorik's rank pip disappears for one camera angle, then reappears.
During the examination of the ruins on the surface of the planet, Neelix states that "They must have suffered some sort of disaster, maybe an earthquake." They weren't on Earth so therefore it wouldn't be called an Earthquake on that particular planet it simply would be called a tremor or a seismic event of some sort.
In Amok Time (1967), which introduced the Vulcan concept of Pon Farr, it was made clear that the challenge of Kali Fee is a fight to the death. This seems to have been forgotten, as it would be illogical in this case if the lady is allowed to chose herself as a combatant.
When Paris and Torres are in the caves after the tremor and find the tunnel blocked by fallen rocks, Torres prepares to blast the rocks with the weapon she stole from the aliens. Paris stops her, telling her that there's no way of knowing if the tunnel is still unstable and would collapse further if blasted. There is, in fact, a way to know that. As mentioned just minutes earlier, they have tricorders with them that would easily provide that information.