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.
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.
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)
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)
Revealing mistake: The first time we see the raid on the senator's room, 2 security guards are shot in the head. The blood spray from the second one emerges a fraction of a second before the gun fires. The second time the raid is played out, everything happens exactly the same way, but this time the spray matches the gunshot. (00:11:10)
Plot hole: Michael uses herself as bait to trap her future self, putting her own life in jeopardy with the reasoning that her future self will come back to save her. All well and good, except they have a backup plan with the doctor to resuscitate her if needed, meaning her life isn't really at risk, or nowhere near as much as might be implied. And her future self would undoubtedly know that, having lived through it in the past, so not swoop in to save her. Or even if she did come, would also know it was a trap.
Continuity mistake: During the fight with Zhou Cheng, Cheng does a forward flip and kicks Danny, making him stumble backwards. In the shot of Cheng lying on the ground, Danny is holding his stomach. In the shot immediately afterwards, he's holding his chest.
Factual error: In the opening seconds of the intro the BTK killer is following a woman home in his work van. Both the woman and BTK have license plates on the front of their vehicles. Kansas does not use front license plates. (Also, BTK's van shows the county abbreviation on the plate as WY - Wyandotte County - where Kansas City, KS is located nearly 200 miles away. The county tag abbreviation should be SG for Sedgwick County).