Factual error: During Lee Iacocca's slide presentation to Henry Ford II in 1963, there are two slides that reference James Bond. One shows him standing next to the Aston Martin DB5, which made its debut in "Goldfinger" in 1964, and another shows a still image from "Thunderball", which was released in 1965.
Factual error: Christian Bale is eating a bag of potato chips. That bag is foil-lined or made of some type of polymer blend. Potato chips were packaged in a wax-paper/plastic bag in the mid-sixties. The inside of the bag would have been whitish, not silver.
Factual error: When Mollie Miles is talking to Ken Miles on the phone while he is at Le Mans in 1966, her handset has a modular connector, which were not introduced until the 1970's.
Factual error: When Ken is in a room seeing a brand new Ford engine being tested, he and a Ford engineer are wearing hearing protection. The protection being earmuffs, which look way too modern for the 1960s. They have a detachable earmuff, which wasn't introduced until decades later.
Factual error: When Mollie is scaring Ken in the station wagon, they pass a red Chrysler 300 twice (tip of the hat to the chase scene in Bullitt). The Chrysler is a 1965 model, and the scene takes place in 1964.
Factual error: The meeting at Ferrari would have taken place outside of Modena. The photographer raced on a scooter, apparently to an Agnelli Villa, which would have been outside Turin, about 200 miles away.
Factual error: While Molly and Ken are talking on the side of the road a UPS truck drives by that has the new logo on the side of it, which wasn't used until around 2005.
Suggested correction: If you freeze frame the truck, you can tell it's the logo with the the bowed package above the shield which started in 1961 (http://logok.org/ups-logo/). But since you need to use freeze frame to see it, it's an invalid mistake anyway.