The black Captain Falcon represents Kyo Kusanagi, a close-ranged fighter who uses fire-based attacks and wears a black uniform.
The default Pikachu minion represents Benimaru Nikaido, a member of Team Japan led by Kyo who uses electric-based attacks.
The white Donkey Kong minion represents Goro Daimon, a member of Team Japan led by Kyo who uses powerful physical attacks and wears a white fighter uniform.
The music track represents Team Japan's theme song in The King of Fighters 2002 Unlimited Match, which features Kyo as a playable character.
The second battle condition represents the team-fighting mechanic of The King of Fighters where teams of three are fought one member at a time.
Other trivia:
This spirit's Attack type and Fire Attack ↑ ability further reference Kyo Kusanagi's usage of fire-based attacks.