I don't know how to answer without spoiling too much, so let's just say that the "anime school life" setting lasts until the start of the competition after which the game starts in another direction. From your comment, I guess that the intro and the game pitch don't do enough to suggest that there is way more in this game?
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Hmm, It sounds like I just needed to get a bit farther in, I'll have to come back to it if I can. The curse of RPGs, they take time :)
One quick thing could be to put a message up after the "epic" part of the intro, explaining "And so 18 years peacefully passed.." or something, before opening at the "am I late for school" part. It took a minute to realize what sort of jump in time/setting had happened.