At the beginning, Barney tells the bartender that he has a letter for Jena Cole and displays a sealed envelope that he takes from inside his jacket. Even though it is shown from a distance, the envelope has obvious folds and creases. Yet when Jena is shown opening the envelope moments later, it is shown both front and back and is in pristine condition, with no creases visible.
After the mission tape has completed and the self destruct starts there is much more tape on the take up reel than a few seconds prior and the reel is of a different type.
The fake jewels are in a case whose lid is only about two inches thick, yet, when Barney is breaking into the vault a hatch in the lid opens and a cylindrical post with a large "radar" antenna emerges from the lid. The post looks to be about eight inches long and the antenna is about four inches high. There is no way it could have fitted inside the lid.
During the armored car heist all of the vehicles had license plates that say "Holiday State" but no state name, though this was supposed to be happening in New York.
The street signs seen are Southern California style street signs including one for "Oak Ave" one of which is in Pomona. This was supposed to be occurring in New York.
Jenna says loans are 20% after 30 days. She gives Barney $800 and tells him to pay back $1000. This would be 25% interest ($200/$800).
However, that's not how shark loans work. She gives Barney $1000, but retains the 20% interest ($200) at once.
Willy's false ID card as courier says "Right Thumb Print", but there's no print.
The ID card's signature and the letter's signature are different (Victor Hathen and B. K****) although they pertain to the same Minister of Security.