Continuity mistake: At the arrival of the TIE Fighters, Greef Karga spots them in the electronic sight of his cannon, but seconds later the turret has still to turn around from the time he shot the slow bombing trooper. (00:27:00)
Continuity mistake: When Baby Yoda barfs, he is holding the cookie in a different position between shots. (00:29:50)
Continuity mistake: When Captain Carson Teva tells Cara Dune "I am sorry for your loss" he turns towards a table. She is standing by a metal post, but she's leaning against it in the next shot, just as she was in an earlier part of the conversation. (00:32:25)
Continuity mistake: When "Blue" leaves the badge on the table, it at a distance of almost three times its width from the table border. When Cara looks at him going away, you can see the object being much closer to the edge. (00:32:35)
Continuity mistake: At the end of the episode, the officer opens a door to meet Moff Gideon. There's a lab technician kneeling in front of Giancarlo Esposito and another one standing while a third on the left is walking across, but in the next shot the leftmost one is already standing perfectly still. (00:33:45)
Other mistake: "Blue" checks out Cara Dune's record and talks to her in stellar terms, obviously she's a great gal. When Mando and her met in episode 1-4, Cara said that if she even tried to board a vessel registered with the New Republic, she'd be captured and be put in jail for life.
Plot hole: Mando's ship was completely wrecked, but two mechanics fixed it to top performance level and aesthetic pleasantness in a time shorter than it took for the Child to eat a small packet of macaroons.
Suggested correction: His ship was badly damaged, but mostly repaired by the Mon Calamari. The remaining repair work was less complex, but still took place over the course of several days. A space-faring civilisation being able to repair a damaged ship is not a plot hole.
His ship is literally falling apart (we see pieces falling off as it moves), the engines are barely functioning and looks like hell. It's not at all a mistake that a "space-faring civilization" is "able to repair a damaged ship", it is when the editing of an episode makes it look like two dudes fixed to pristine condition a wreckage in the same time it takes for a kid to munch his cookies.
Other mistake: In the first episode of the first season, the Stormtroopers in Nevarro were wearing poorly maintained and rusty uniforms, implying they were a small detachment stranded away and cut off from any remnants of the Empire, in fact living in a clandestine condition. They also had to set up a small laboratory in the bunker where the doctor worked. Now turns out that a few minutes off the city, there's a full base the locals were aware of, with tons of equipment, that is where the stormtroopers from Season 1 finale came from, and that the research facility is there.
Other mistake: Greef Karga mentions that the Mythrol was his accountant before running off, but when Mando captured him in the first episode, he had no idea who Mando was nor had ever seen his ship before.
