Goofs

The envelope addressed to Col. Parker includes a Zip Code, but he is in 1962 and Zip Codes weren't introduced until July 1, 1963.

The word "sustainable" was not used in its modern sense, meaning "environmentally sound and non-polluting", in the 1960s.

The Army colonel is wearing the US Army Military Assistance Command Vietnam Patch. But the patch was not authorized for wear until 10 February 1966. The story is set in 1962.

The leap takes place on September 12, 1962 (the day of JFK's speech about going to the moon), but Moe claims to have read Solaris. Solaris wasn't published in English until 1970.

[6:47]The ZIP code on the letter addressed to Colonel Parker has a 76017 ZIP code and it's addressed to Glen Rose, Texas. 76017 is one of the ZIP codes for Arlington. There is a Glen Rose in Texas but it's nowhere near the Dallas/Fort Worth area and it has a different ZIP code.

Addison tells Ben that Ziggy calculated that it was someone in the elevator who triggered the bomb, and, thus, there's a 20% chance it could be any one of them, since there are 5 people. Ben already went through two versions of events, once as Colonel Parker and once as Dr. Wagner. Since Ben did not trigger the bomb in either of those loops and the bomb did go off, Wagner and Parker can be eliminated as suspects, and, thus, there would be a 33% chance it was either Dr. Woolsey, Mallory, or Moe. At that time, the bomb trigger was unknown, so Ben could have triggered the bomb without knowing it. That turned out to be the case, but Ziggy did not know that, which is why Ziggy calculated that it had to be Woolsey or Moe on the second-to-last leap.

Mallory talks about exposing the reactor as a production facility for nuclear weapons. By 1962, the US already had thousands of nuclear weapons, and production of them was routine. While there was an anti-nuclear movement in 1962, most Americans considered nuclear weapons as necessary to the nation's defense. Mallory revealing secrets of a nuclear weapons facility would not be greeted well by most Americans.

Janis Calavicci says that Ben cannot leap into the same body twice. However, in the original Quantum Leap (1989) Sam does leap into the same body twice as Jimmy La Matta once in 1964 (Jimmy) and again in 1966 (Deliver Us From Evil) so it should be said that Ben can leap into the same body twice but, not within the same year.

Everyone assumes that the villain must be one of the five people on the elevator, but there's at least one more person in the facility, the security guard who warns Ben away from the locked door.

The main story conceit of the series is that the leaper (Ben) is actually affecting history by leaping into the lives of others and acting as them for a short period of time. Once he does so, history is altered, with no way of undoing the changes. Therefore, as he leaps into each of the people in the elevator, his past self from the previous leap should still be there, until, by the end, there are 5 Bens present.

Ben talks about the nuclear weapons being produced by the facility as killing people. While Ben is an avowed pacifist, he also would know that any weapons produced after 1962 would not have killed anyone.

When Ben describes several recently published sci-fi novels as "classics", Moe gives him a strange look, prompting him to say that they "will be classics". While the term "classic" usually refers to older works which have stood the test of time, it can also be used to refer to recent works of a high level of quality.