The spaceship model flying around Barney Springboro's bedroom and through the fish tank was a modified Millennium Falcon from Star Wars with USS Enterprise nacelles from Star Trek and lighting.
The inter-school baseball game seen in the film was played between the Tigers and the Emerson Penguins with the name of the high-school of the former never being disclosed.
The blond-haired member of the Penguin baseball team was seen in the Prom sequence wearing a suit and tie ensemble. Later when Barney used his telekinetic powers to rip his pants off, revealing his Rolling Stones red bikini briefs, he is now wearing a tuxedo.