Other mistake: As Young Sheldon is a prequel series to Big Bang Theory, this episode is at odds with episode 2-13 of Big Bang Theory, "The Friendship Algorithm," in which Sheldon is unfamiliar with books like "How to Make Friends and Influence People," which he reads in this episode of Young Sheldon, produced nine years later but taking place twenty years earlier.
Continuity mistake: In season 1 whenever count Olaf's tattoo is shown, it is always on his inner left ankle (the reptile room part 2, Mr. Poe wipes the makeup to reveal it on the inner ankle, and In the Wide Window part 2 when Sunny chews through the broomstick and Olaf's lag is revealed it is also on the inner ankle. In this episode, after Sunny loosens the laces on Olaf's shoe and the Baudelaires defeat Olaf in the arm wrestling, the tattoo is on the outside left ankle.
Factual error: The briefer on the oil platform mission says the platform is 12 stories, and 80 million square feet. Doing the math, that makes it half a mile per side if completely square. It is nowhere near that size as shown. The largest oil rig in the world - Berkut in Russia's Far East - has a combined deck area of only 342,000 square feet. (00:13:35)
Other mistake: In the hotel room shootout, bullets are being fired through the wall easily and tearing up the place as you'd expect. Frank then dives through the damaged wall and they shoot at each other with Frank behind a cupboard and Pilgrim behind an internal wall. But bullets empties into both of these bits of flimsy cover leave the men behind them miraculously unscathed.
Continuity mistake: When the Krill shuttles land, they park on either side of the entrance to Epsilon station, but when the Orville crew are escaping, the Krill shuttles are gone momentarily (during the firefight), only to return to their proper places a moment later as the Orville shuttle takes off. (00:33:40)
Factual error: In the opening sequence when Maddie is supposedly driving from Michigan through Ohio and back to Pennsylvania, you can very briefly spot the reflection of a "TD Canada Trust" in the car window. This is because the show is actually shot in Vancouver. In the United States the company is simply known as "TD Bank", which doesn't operate any branches in either Michigan or Ohio. (00:01:55)
Other mistake: In dialogue, Starbase 1 is described as "100 AU from Earth," which is over three times the orbital distance of Neptune, but still within the Solar System. But the onscreen graphic shows the starbase next to a planet that can be visually recognized as Earth; portions of North America, including the Florida peninsula and the Gulf of St. Lawrence, are visible.