Many of the puns Frank uses are taken directly from the Disney Parks attraction on which the movie is based. These "so bad they're good" jokes are one of the reasons why Jungle Cruise skippers are so important to the ride experience.
Frank describes himself as a "skipper." This is the title given to Disney cast members who act as tour guides on the Jungle Cruise ride. Famous former skippers include Kevin Costner and John Lasseter.
There are several elements from the park attraction featured in the trailer. The most notable is the "back side of water" gag that most of the cast members use during the attraction.
Emily Blunt originally turned down the role of Lily twice due to exhaustion working on Il ritorno di Mary Poppins (2018) and A Quiet Place II (2020) back-to-back. Director Jaume Collet-Serra flew to New York to meet Blunt to explain why she was wanted for the role. He also brought along a video message from Dwayne Johnson (in his producing capacity) pitching about the role and wanting to work with her which Johnson recorded the night before. That video eventually got her to sign up for the role. The other producers and even Sean Bailey, Disney's head of live production, had previously tried to appeal to her for the role but received no response from her.
The arrowhead was discovered by "Dr. Albert Falls." This is a reference to a joke often used by skippers on the theme park ride: "These are the famous Schweizer Falls, named for their discoverer: Dr. Albert Falls."