The black and white dress June Allyson wears at the 4th of July party was previously worn by Judy Garland in the "Born in a Trunk" sequence of A Star Is Born (1954) where she sings "You Took Advantage of Me".
According to June Allyson in her biography, she and Alan Ladd had a romance during the shooting, but it remained platonic because they did not want to be unfaithful to their respective husband and wife.
The trivia item below may give away important plot points.
On August 25, 1954, while testing the fifth production F-86H (serial number 52-1981), at Edwards Air Force Base, Joseph C. McConnell, Jr. was killed in a crash following a control malfunction. The crash's cause was attributed to a missing bolt. Then Major Chuck Yeager was assigned to investigate the crash and replicated the malfunction at a much higher altitude, recovering before he hit the desert floor. The end of this movie had to be changed to reflect this event.