Plot hole: The idea that Marlow would simply take a taxi to his wife's address after being missing in action for thirty odd years is stupid beyond belief. He was on a ship sailing from the central Pacific for days and those ships have radios! The US military would have known he was coming. Someone, somewhere would have notified the authorities that a US serviceman long thought dead was actually alive and on his way home and his wife and son would have been there on the docks to greet him, not standing slack-jawed in the kitchen dropping trays of drinks on the floor when he turned up! What would have happened if she had remarried? Or moved house? Or she was dead? Don't tell me the US military didn't know he was coming - he is wearing a brand new uniform, clean and pressed.
Continuity mistake: When Finn is going to an escape pod to run away, he puts his pack down in front of it, seen again in a later shot. When Rose realises he's trying to run away, his pack has moved itself inside the pod.
Continuity mistake: After Belle says good morning to Jean Potts, when she feeds the apple to the donkey note the rope (crosstie) is tied off at the donkey's throat, but in the next closeup the rope is tied off directly to the halter knot at its cheek.
Factual error: It is roughly 120-135 dB inside of a C-130, especially one that hasn't been specifically modified. It is so loud that it is painful to be in the cargo hold without hearing protection (besides it being outside of military regulations) and you certainly couldn't have a normal conversation while it was in flight.
Continuity mistake: When Sammy first offers the drink to Diana (in a close up), Diana takes the mug in her left hand. Just before the camera switches to a long shot, Diana switches the mug to her right hand. In the long shot, Diana still has the mug in her left hand and she sets it on the wall to her left. The camera switches back to a close up and Diana again has the mug in her right hand. When Steve asks her to dance, Diana again sets the mug down on the wall, this time to her right.
Factual error: While featuring a brand-new 1962 Cadillac, a 1963 Chevrolet and 1963 Ford are shown.
Continuity mistake: When Bruce talks with Barry to joins him into the league, he shows him a paper with Barry on it and his fingers move between shots. (00:36:35)
Plot hole: The world depicted features magic, an evil overlord who 2,000 years before tried to conquer the world, and several races. Despite these HUGE differences with our world, everything turns out of the same as our world, with nations as they are now, and a casual mention of the Alamo and "Mexicans still getting shit" for it. So our current history has not been altered a single bit by wizards, dragons and super-strong races roaming the Earth. Fine. In this ungodly implausible context, orcs live with humans in cities that mirror ours; humans and elves don't trust them, but still they live in towns with them, they go to schools, run businesses, half of the NFL is formed by orcs. Even the movie Shrek exists! And yet, at the end of the movie Nick Jakoby becomes the first Orkish police officer in the USA! There is just no way a society like this, mirroring closely our own and with orcs that existed as long as humans did, can exist with no orc ever been part of law enforcement.
Continuity mistake: Clare's pants split at her knee because she falls off her bike and she gets injured. When she returns home later to see her father, the pants have been fixed and there is no hole.
Continuity mistake: In the city as the heroes are fighting a giant robot, The Ray leads the robot into Green Arrow's web of beam arrows and it gets stuck, allowing them to attack it. The robot is stuck facing the beam web with its back clear. When The Ray blasts it hard from above and the robot falls backwards, the beams are suddenly on its back. (00:44:40)
Continuity mistake: Sara recovers the artifact and gets on the boat. She removes the deep-dive helmet and the oxygen tank. The villain is looking at her through his binoculars, she hasn't moved, but the equipment she took off and dropped on the deck has vanished. (00:03:00)
Continuity mistake: Roland crumbles up Jake's drawing and stuffs it in his jacket, but when he takes it out again, it's neatly folded.
Suggested correction: The implication is that Marlow went through an extensive debrief and nobody had contacted his family until the debrief had concluded, based on the top secret nature of the mission. As you say, the fact he has a brand new uniform suggests that he has contacted the US Military prior to ever contacting his family. The fact that his wife would have moved and re-married is irrelevant, he still would have made an attempt to contact her so he could see his son.
BaconIsMyBFF
And they wouldn't have contacted her after the debrief had been completed? What utter nonsense. Allowing him to just turn up on the doorstep without notifying his wife first is an utterly irresponsible and even dangerous act. She could have fainted with shock or even had a heart attack. She would absolutely, definitely, 100% carved in stone, been advised of her husband's survival and return.
Since we know very little about the completely fictional organization Monarch, we obviously cannot say they would "carved in stone" do anything. In order to be a mistake in the movie, it would have to be something that is impossible. A secret government organization that doesn't even exist in real life not behaving the way the real military would is not impossible. At least not by the rules set forth in the film. It's perhaps improbable but it is most certainly not impossible.
BaconIsMyBFF
It is an inviolable, carved in stone, fur lined, ocean going, top of the list rule that the next of kin are immediately advised of the change of status of military personnel. MIA, now confirmed dead? They'd be the first to know. MIA, now confirmed to be alive, same outcome. His wife would know he was on that ship coming home.
This is true in real life but in the fictional world of the movie Monarch is a secret, government agency that has some degree of control over the military. You can't apply the same rules as in real life in this situation.
BaconIsMyBFF