When the prince arrives in his dorm room and later the roommate arrives, the roommate enters carrying arms full of snacks. The snacks included a box of Cheezits. The roommate later states his allergies, which begins with dairy.
When Eddie is quoting William Shakespeare to Paige, Soren is standing next to him when they show Eddie. As they show Paige's reaction, Soren is standing behind her, and then back next to Eddie again.
On her way to the wedding in the beginning of the film, part of Paige's dress is stuck in the door of the car. This trapped part disappears and reappears between shots.
When the professor is writing the breakdown of the final grades on the blackboard, he writes the number 10. In the next shot it disappears and he writes it again.
During the parade, the Queen is seated on the right-hand side of the coach. When Eddie and Paige ride by, she's on the left-hand side of the coach.
Eddie working in a Deli on a student visa would be illegal under US immigration law. Students may only do limited on campus work relevant to their studies.
Paige begins the first semester of her senior year of undergrad, starting the semester taking at least organic chemistry and English/William Shakespeare. As she is completing her first semester finals it would be early to mid-December in Wisconsin. But when she leaves after her final for Denmark, which also has winter temperatures, it appears to be springtime. This may be because the journey to Denmark happened at the end of her second semester rather than her first.
Eddie visits Paige's home at Thanksgiving in Wisconsin, yet it looks more like the middle of summer. By November, the trees would have dropped all their leaves and the average high temperature is in the mid 40s.
In the deli when Paige is teaching Eddie how to use the meat slicer, smudges on the slicing blade reveal that it is not actually moving, even after Eddie supposedly turned it on.
The "taxi"! Paige uses from the airport to the parade. The RPM-counter is stuck at idle, even though the car is accelerating. Also, it doesn't have the lighted sign in the front window saying "FRI" for when it is seeking customers. There is also no taximeter visible.
When Eddie goes to open parliament, the audio does not match his hammering.
The cars in Copenhagen in the beginning of the film don't have Danish license plates - they look like Czech.
The Royal palace in the movie is Frederiksborg Castle, a museum of national history situated in Hillerød, north of Copenhagen. The royal family's winter residence in Copenhagen is Amalienborg Palace.
Paige is told she can call her parents at 12:40 PM. Her parents live in Wisconsin where it would then be 5:40 am.
The sign on the roof of the taxi Paige leaves at the parade says "TAXA". All Danish taxicabs have the word "TAXI" on the roof light.
Eddie takes off for Denmark upon hearing of the sudden illness of his father, without communicating with his girlfriend (with whom he was seriously involved) about the situation. After hearing of his departure, Paige forgets medical school and seemingly whimsically chases after Eddie in Denmark. In view of the fact that he jilted her, this would be a wild goose chase in any real life situation.
At Paige's graduation from undergraduate college, she is wearing a hood that is reserved for Masters and Doctoral degrees.
During a press conference with the prime minister of Denmark, the Prime Minister says "The United States of Europe" about the European Union.
When Soren shows Paige around in the royal garden he talks about when King Gustav IV fell and.... That king is actually Swedish and was the king of Sweden between 1792-1809. The Danish king in 1502 was King Hans.
Traditionally, Danish kings are named either Christian or Frederick - the last Danish king to have a different name was King Hans/John (1481-1513).
The English professor's door is labeled, "Prof. M. Begler Phd.". The correct annotation is Ph.D.