When Ed and Kelly are sharing a drink in the mess hall, in the close up shots of Ed, he is leaning over the bar with his back curved forwards. In the two-shot, he is more upright, with his back curved backward.
The crew decide to hide from the Kaylon "just inside the event horizon" of a black hole. An event horizon is the boundary beyond which nothing can escape a black hole's gravity, not even light. Their ship could not possibly go "inside the event horizon" and then come back out again, especially not at sub-light speed.
The "synthesizer" that Gordon and Ed take from the listening post is very obviously a modified microwave. This may be an allusion to Star Trek (1966)'s cost-cutting measure of famously dressing up everyday appliances into "futuristic" machines in a not-very-convincing way.
It is unclear how Talla got to be on board the Orville, and how Alara got to leave it, as it was Ed who brought Talla on board, and Ed never got to be captain in the alternate time line. By the same token, John would have never worked with Isaac on an engineering project, as it was Kelly who promoted him to engineer (who herself never got on the Orville), and he was a navigator up until the arrival of Gordon, who also never got on board because Ed never did.
While attempting to activate the quantum accelerator, John calls the others and tells them he needs them to give him all the power he can. John is in the engine room, where the power is generated. He would not need to ask for additional power from elsewhere, nor could he, as he is controlling the source of all power on the ship. In fact, typically other crew members have to call to the engine room to request additional power for specific functions.
Early in the show, the ship hides from the Kaylons partially in a black hole. They can see the Kaylons, but the Kaylons cannot see them. When they are trying to get the data from Isaac, it is revealed that doing so will reveal their position to the Kaylons. Instead of going back to the black hole to do this and then hiding as they did before, they stay in the open.
The crew is forced to go to Alara's resistance cell for help because they need a specific protein for their plan to work and there isn't a single intact sickbay left in the Union with which to replicate it. The plan for traveling to the past and administering the protein to "past Kelly" hinges on finding the Orville intact on Earth. If they successfully locate the Orville, then they will have a sickbay in which to replicate the protein. If they don't, then the protein is useless. Even if they were to find the Orville but its sickbay was for some reason damaged, their plan was to send Claire into the past to administer the protein. She could have simply replicated the protein then, when the Union was fully operational and functioning medical facilities were plentiful.
In the Pacific Ocean scenes, characters go back and forth referring to both "miles" and "meters".
Ed says that in this version of events, he went out with Kelly once then "called her a bunch of times but she never called me back." He further states that she "blew me off." It was shown in Tomorrow, and Tomorrow, and Tomorrow (2019) that she answered his initial inquiry for a second date with a rejection, so while she may not have "called him back" she did answer his call and give him a response. She did not simply blow him off him as he states.
When the Kaylon chase Ed and Gordon from the disused Union listening post, Gordon says that he thought they'd be safe there, at least for awhile. Their actions showed them as frantically searching through the outpost's supplies as if in a hurry. If they'd expected to be safe there for awhile, they would not have behaved in such a way.