Character mistake: In the training room, after Randall is discussed as the record holder, the students are brought to attention. All but one is standing at attention, he is in the back on the right hand side, standing at ease.
Character mistake: Throughout most of the movie, many of the characters are seen wearing dark, heavy clothes such as long pants, sweatshirts, etc. Wearing warm clothing puts them at a greater risk of suffering heat stroke and dying more quickly, than if they wore light-colored, cooler materials.
Character mistake: Declan tells Ethan that 162 (meters) is "pushing minimum height for a (BASE) jump." This is not the case. It's not uncommon for jumps to be made from sub-100m heights. In fact the lowest BASE jump was debatably made from the hand of the Christ the Redeemer in Rio at 29 meters. However it must be said that jumping between buildings, like in the movie, is extremely dangerous and carries even more risk than just normal BASE jumping. (01:22:20)
Character mistake: When Bond is sending his resignation email, another email titled "Stationary Request" is visible in his outbox. The grammatical mistake (it should be "Stationery Request") seems to be an unusual error by Bond and not quite in keeping with his character, his assumed background or his smooth way with words.
Character mistake: On the refrigerator is a letter from the Department of Defence - Defense is misspelled.