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.
Other mistake: The inexplicably omniscient Moff Gideon mentions that Mando fired his wrist launcher's "one and only salvo." This would confirm what could be assumed by the dialogue with the Armorer in episode 1.3: the Whistling Birds are rare, and made of Beskar. Mando uses them in 1.3 immediately, then he still has them in 1.6 to use them against Burg. He replenishes his ammo in the season finale so we can assume that includes the birds. In season 2 he uses them in 2.1 in the prologue and then in 2.6. Seems abnormal to say the least that he'd have still some to use in 2.8 with no more refills.
Other mistake: Shoulder to shoulder, Cara Dune and Fennec Shand advance shooting Stormtroopers on a bridge. But look where Ming-Na Wen is aiming; she's never gonna hit anything in front of her, and if there's any threat all the way to the left where she is pointing her blaster, it is never shown. (00:14:50)
Other mistake: Moff Gideon is holding the Child under the threat of the darksaber. He tells Mando "Drop the blaster." Mando killed the two last enemies with his spear (the second one even choking him with it) and went straight to open the door of the cell, no blaster in hand. (00:20:00)