After the encounter with the giant electric tumbleweed leaves the chariot disabled, John orders everyone to abandon the vehicle to walk back to the spaceship. Maureen says "Everybody out. Pick up your parkas." But, there are no parkas to pick up; everyone is already wearing their parka, and no one is carrying any clothing of any kind as they climb out.
Dr. Smith calls his fear of heights as "batophopbia". The usual word for fear of heights is "acrophobia". There is a similar term that sounds like what Smith said, "barophobia," which means fear of gravity.
On the upper deck of the Jupiter Two, when a two-shot of Smith and Will is followed by a long shot of the entire crew (after Smith pats Will on the back and says "Good boy"), Smith rotates ninety degrees.
Prior to the landing on Preplanis, as Maureen descends the ladder to the lower deck and then prepares to strap herself in, a repeating electronic sound can be heard. This was the radio signal received from the alien spacecraft of the previous episode (The Derelict) which John had remarked that he'd "never heard a [sound] like it before."
As the Robot first exits the spacecraft to analyze the soil and atmosphere of Preplanis, he bumps two rocks, causing them to roll away. After having come to a complete rest, the rock on the right moves again, obviously getting pulled across the soil by an off-camera stagehand.
While Will and Smith are listening to the interchange while discussing the Robot's ability to play chess, West says Robinson's altitude is 40,000 feet. Twenty-four seconds later, West announces Robinson's altitude is 10,000 feet. This means that Robinson is travelling at more than 850 mph vertically with an unknown horizontal vector. Not only would he be incinerated at that point, he would have hit the surface within 8 seconds.
When West and the family take off in the Chariot to go look for John, the tracks in the sand start when the Chariot moves. Since it had to be assembled and parked by the hatch, where are the tracks from wherever it was unloaded from the ship to that point?