Our big family of elemental rejects

This story is about a family of 4 brothers
Moon the umbreon is the oldest he was rejected because he was born in the day but is still an umbreon
Via the espeon was rejected because he was color blind
Friday the flareon was rejected for not being able to use any fire moves and only blowing smoke
And the youngest Sunday the shiny evee was rejected for not being able to evolve but now with a new Pokémon tournament and their faimly having just the right amount of members they and the mayors daughter will travel from jhoto(where they live) to shien(a made up Pokémon region) and every region in between 7 regions 7books 1 ending will they win or not?
(Warning: regions might not be in order in the books)