At about 14:30 the crew enter a classroom where the teacher is saying the triple entente of WW 1 was Russia, England, and France. This is not correct. It was Russia, Britain, and France. Britain at the time was England, Scotland, Wales, and Ireland. It should be noted that, while Britain includes England, England is not Britain.
Before going to the planet, Mercer calls for LaMarr to take the conn and Charlie assumes command of the ship. LaMarr is a Lt. Commander and Charlie is an ensign. She should have remained at Conn while LaMarr takes the Captain's chair.
When the crew walk into the airliner they are on a 737-800NG , when they break into the cockpit it is a 757/767 cockpit.
Gordon refers to Oakwood High School as a "21st century high school." While that type of building may still be in use in the 21st century, it is of a style built in the mid-20th century.