The Dark Troopers pound on the bridge doors. From the inside and the outside, the damage is visible. But there are two overlapping layers to the doors. When opened, the inside of the area where they were pounding shows no buckling, but the inside panel shows evidence of the pounding.
When Cara Dune and Fennec are shooting at stormtroopers on the bridge, Cara has her blaster in her left hand. When the camera switches to the stormtroopers (at around 14 mins), her blaster is in her right hand.
During the hallway battle between Djarin, aka Mando, and the Dark Trooper, the beskar staff is clearly knocked off his back as he falls onto the floor. The positioning of the staff changes throughout the fight. If Djarin were bumping it around, the sound of it should be heard rattling around. Also, when Djarin does his spin move, he reaches behind his left shoulder instead of on the ground to grab the staff to destroy the Trooper.
When Boba Fett is arguing with Koska Reeves before they fight, his targeting rangefinder antenna is fully vertical; in the next shot, it jumps to 1/3 down, and then it jumps to fully vertical again in the next. This happens in seconds.
When Moff Gideon begins firing at Grogu on the ship's bridge, Mando jumps in front of the shots, taking a shot square to the chest. Gideon lets off several more shots, which Mando is seen taking to the chest again, even though he should have already slid past in his dive.
When grappling with the Dark Trooper, the Beskar staff on Mando's back is shorter in some shots.
At the beginning, when traveling through hyperspace to Moff Gideon's ship, Bo-Katan's ship is the first to come out of hyperspace, meaning that Boba Fett, traveling just behind the Imperial Cruiser, would rear-end them, since Fett exited hyperspace a few seconds after the leader.
In the middle of the assault, it makes no sense for the stormtroopers coming up on Fennec and Cara Dune on the bridge to shout "Freeze!" No order has been issued to take them alive. The logical thing would be to just shoot them in the back. A clear case of "plot armor."