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.
Other mistake: Somehow during the episode Cara and Fennec, on foot, manage to get to the base at the same time as Mando, who is on a truck. Moreover, Cara is the one with Mando's armor in a sack, but when Mando emerges from Slave-1, he changed clothes, and he's back in full uniform.
Character mistake: Cobb Vanth says that he's never seen anything but the dragon's head and had no idea about the size of the dragon...but at the beginning of the episode we could see the beast pass through town (conveniently right in the main road without damaging anything else) and its enormous lengthy body was perfectly noticeable. (00:31:20)
Continuity mistake: In the scene with all the Mandalorians just hanging out at some bar, Boba Fett retorts at Sasha Banks' character; "if it isn't the quacta calling the stifling slimy." There's a cut and his rangefinder is inexplicably tilted forward. It is back to normal in the rest of the scene. (00:06:15)
Visible crew/equipment: The kid actors in the school scene several times break fourth wall looking very distinctly at the camera. The kid directly behind the Child does it right away as Carl Weathers brings it there, and when Gina Carano is heading out there's a kid in the foreground who steals a worried peek at the camera, impossible not to notice. (00:09:05)
Continuity mistake: At the end, when The Mandalorian takes his helmet off so Grogu can see his face, the helmet is placed on the floor facing backwards. When Grogu is placed on the floor, it is now facing forward. Then when Luke walks away, the final shot shows it facing backwards again. (00:36:50)
Plot hole: Seeing The Child in episode 2-1 minute 10, Amy Sedaris' character shouts "Thank the Force." Up to that point nobody seemed to have the faintest idea of what sort of mysterious energy Grogu was using. It gets worse in episode 2-3 when Mando uses as greeting for the New Republic "May the Force be with you", which is used later other times. With the concept of Force being this ingrained in people's culture, it's inconceivable that *everyone* is completely clueless about Jedi, especially considering that Order 66 with the Jedi purge happens barely 30 years before the events of the Mandalorian, and several characters such as Kuiil or Greef Karga were alive and active during the time when Jedis were powerful and part of the administration.
Plot hole: The Imperial terminals have facial scan recognition...or just facial scan, really, since ANYONE regardless of being part of the army or not can just access any information of any level, as long as they have ANY face that the app can scan and identify as not being a known criminal.
Other mistake: The highly advanced and powerful Dark Troopers, when faced with a closed blast door, punch it repeatedly with their fists rather than simply prying the two doors apart. Even having dented it slightly, they don't wedge their hands into the cracks to open it, they just keep slowly denting it...more.
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.
Continuity mistake: The giant spider punches at least two holes in the cockpit glass, the legs going through it all the way, but there are no holes visible in the rest of the episode, nor when the camera is inside the cockpit, nor when he 's talking with Dave Filoni and his buddy and the spider queen is slumped dead, just by the spot she was assaulting. (00:31:50)
Continuity mistake: In the opening recap of the episode a scene is shown where the Mandalorian is sending a speech to Moff Gideon, which was originally from the end of episode 15. In episode 15, he says "He (Grogu) means more to me than you will ever know," but in the recap he says "It means more to me than you will ever know."
Continuity mistake: The kid who eats cookies sometimes keeps his hand closer to the biscuit packet, some other times closer to the computer. When Baby Yoda nags him for the first time cooing, you can notice his left hand on the desk under one angle and to his mouth munching in the other. (00:09:50)