I'm really surprised that Bay Laurel didn't use his Fighting Spirit because I think in the game he does. This is one of the only matches where the Captin dosn't use a Fghting Spirit despite having one.
He hasn't. He is raimon's opponent Manager and helped a team that was falling apart in kidokawa to a great opponent. The season villian was senguuji daigo who was pretty much controlling every aspect of football match using holy emporer as his puppet (gouenji)
You need to look at the end. Aphrodi isn't very in the fifth sector. He wants to play football normaly. Like endou and Kido. For Axel look at the end of the story on Dailymotion.