Character mistake: All the characters wearing gas masks are wearing them with the straps over the hoods. I was army trained, and you always wear the mask next to the skin for best seal, with the hood over the top.
Character mistake: The doctor diagnosing Will's illness tells Evelyn and Max that it's caused by "an isotope called polonium." Polonium is a chemical element, not an isotope. The word "isotope" refers to a form of an element (such as carbon-12 or carbon-14) not the element itself. It does not mean "radioactive substance", because many isotopes are stable. A doctor would know this. (00:17:00)
Character mistake: When Steve is at the Smithsonian, he reads the biography of his friend Bucky. At the start of the description, the bio reads "Born in 1916...", but at the bottom of the description, it reads "Bucky Barnes: 1917 - 1944." (00:18:35)
Character mistake: Shortly before the drone chase scene Cooper tells Murph to put the truck in second gear. She pushes the gear lever forward, however on the 6-speed manual in the Ram 3500 second gear is in the back row.