When Kelly approaches the little girl to heal her with the dermascanner, her grip switches from having her index finger on the activation button, to having her thumb on the button, and back again between shots.
The 14th-century-period peasant's cottage has bright steel door hinges.
Not necessarily an error. Different cultures progress at different rates, and different cultures on worlds that are an invention of a writer can progress in any way he/she sees fit. In this instance, at time code 23.33, when a woman is disciplining her son, weapons are seen next to them that are obviously steel (or something that looks like it). There is no reason to think that a blacksmith or former solider, perhaps, couldn't have made the hinges.
Not necessarily an error. Different cultures progress at different rates, and different cultures on worlds that are an invention of a writer can progress in any way he/she sees fit. In this instance, at time code 23.33, when a woman is disciplining her son, weapons are seen next to them that are obviously steel (or something that looks like it). There is no reason to think that a blacksmith or former solider, perhaps, couldn't have made the hinges.
When Kelly uses the dermal repairing device to heal the little girl's head wound, the blood that had already oozed out of the wound disappears as well. This may well be in the purview of the futuristic technology which the writers want to portray.
Kelly is able to converse with a little girl on a planet whose language is unknown to whomever makes the Union translation technology. This can be seen as a carry-over from the Trek universe to just about any popular space opera, where the authors don't want to have half the story being about learning communications. Star Trek (1966) ignored this question, while all subsequent Trek series acknowledge that characters carry a Universal Translator. As a practical matter, the authors treated the device like magic, essentially reading the minds of whomever is speaking. It is simply an accepted convention of the genre, much as the idea that the vast majority of extraterrestrial life forms are essentially humans (plus funny ears or other head marks) with the mannerisms of English-speaking people on Earth.
When the shuttle is heading down to the planet's surface a second time, Kelly is standing behind the two forward seats while Ed and Alara are behind her. Ed and Alara absolutely tower over Kelly. The floor of the shuttle is flat. Adrianne Palicki, who plays Kelly Grayson, is 5'11" tall, while Seth MacFarlane, who plays Ed Mercer, is 5'10" and Halston Sage, who plays Alara Kitan, is 5'5". So MacFarlane and Sage were standing on boxes to get everyone in shot.
Admiral Ozawa tells Mercer and Grayson that if they haven't found anything about the mysterious planet in 72 hours (3 days) then she'll send a science vessel to relieve them. The Orville then has to wait 11 days before the planet reappears, and then again, yet no science vessel ever takes over for them.
While undercover, John Lamarr tells his fellow crewmen that they're about 3 miles outside the city. The Planetary Union uses the metric system. (The casual mixing of metric and traditional is carried over from Star Trek (1966) and nearly every other Trek series.)
When Gordon, Kelly, and Isaac take the shuttle on an away mission, Captain Mercer asks Bortus to have John LaMarr take the helm. John has been promoted to chief engineer. His duties as a department head should supersede a task like piloting. The Orville should be staffed with numerous capable helmsmen who could take over without pulling another section's department head.