Kobujutsu is Kobudo, an ancient martial art. Historically, Okinawa (the Ryukyu Kingdom) developed Kobudo after bans on conventional weapons (1477 - 1609). These techniques were designed to help villagers and farmers survive against samurai or bandits, so it was a fighting system born of necessity, unlike modern martial arts. To be honest, due to Koroshi to Uso no Marriage being the origin of Bouryoku Branzai!, the female MC of Koroshi was very lethal at using any weapons, which fit more with the Kobudo style than Setsuna (I'm still disappointed that we don't get Koroshi serialised

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Kido-style, I can't find the info, but likely a unique style designed by the master.