When Mando puts on his jet-pack, he starts to put it on his back, the camera cuts away, and when the camera comes back, he is holding it front of himself in the foreground.
At around 17:20 the door to the bar, where the group is pinned down in, gets blown up and visibly destroyed by the storm troopers. About a minute later, the same door closes behind the heroes, fully intact.
Another minute later, when the flame trooper attacks, he shots his first flames through the now again missing door, just for it to once again reappear in the outside shot (where the flame trooper now shots through the window).
It then disappears one last time, when the flame trooper walks through it, into the bar.
In the final battle, Moff Gideon is heading to the crew and Cara Dune is shooting his bomber. The scene cuts, and he is still coming straight to them, but when it cuts back to the Mandalorian and the crew, Cara has her back turned to the bomber while she should still be shooting or at least facing the action.
At 37:01, IG-11 blows up and the stormtroopers around the blast are shown to have melted armor and are covered in soot. In the next shot, they're shown as closer to the blast and have perfectly intact, clean armor.
When Cara Dune enters the sewers, she is missing the glove on her left hand. When she is in the sewers, suddenly she has both gloves on.
When Moff Gideon mentions the Night of a Thousand Tears, the shot is mirrored. This is evidenced both by the fact that he points to his left when talking about the E-Web, when it is really to his right, and also by his armor that is mirrored.
When Mando puts his jetpack on, he does so by raising it over his head and lowering it straight down towards his back. When he does this, his cape is draping straight down, covering his back armor. When the jetpack attaches, it is suddenly affixed directly to his back armor with the cape pushed off to the left.
IG-11 is able to walk in lava in knee-level length. Though IG appears to be fireproof, lava is very heavily dense that almost nothing fireproof can even sink that far. (this is an very common depiction in pop culture).
Cara Dune has tattoos on her right arm and her left cheek, but in the last fight, the tattoo appear on her left arm and right cheek. This shot was mirrored.
at 38.50, Mando lands on the top of the aircraft. The scene then cuts to another take of him landing on the craft.
Mando tells the others that he hasn't heard his actual name spoken aloud since he took the Creed, indicating that foreswearing one's name is a part of the Mandalorian Creed. Yet a few scenes later, the Armorer, the highest authority of Mando's covert, openly speaks his name to the others.