The Eden House, featured in the movie, is a real hotel, and is the oldest hotel in Key West. Built in 1924 as the Gibson Hotel, it was purchased in 1975 by titular owner, Mike Eden. According to Mr. Eden, on the hotel's web site: "The movie CrissCross (1992) starring Goldie Hawn was filmed at the Eden House for five months over the summer of 1990. Scott Sommer wrote the short story CrissCross while staying at the Eden House in early 1976." The Eden House is still in business and has been totally renovated since the movie.
Chris indicates that he was worried about the astronauts getting stranded on the Moon. That was a serious concern, because there was no way to rescue them. There was a speech prepared for President Nixon in case of that, and other failure possibilities were covered in it also.
The monastery visited in the film is popularly called "The Ancient Spanish Monastery" and is situated in North Miami, FL. It was built in Spain, 1133-1141, as "The Monastery of St. Bernard de Clairvaux". It was purchased in 1925 by William Randolph Hearst, disassembled, and shipped to the US in 11,000 crated pieces. It was eventually reassembled in North Miami by subsequent owners.
It is said this rare dramatic portrayal by Goldie Hawn is in part because this was a "passion project" for her; she is also the uncredited Executive Producer.
Filmed in 1990 but not released until 8 May 1992.