Fly to Lilycove and go into the Contest Hall. Talk to the lady on the left behind the counter and she'll realize you do not have a Pokeblock case. She'll give you one. Hope this helps you! c:
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Go to the contest hall in lilycove and talk to the lady on the left. She would give you a poke block case.
You find the Poke-Block Case in the house directly east of the PokeMart in Turzoro City. The contest lady will give it to you.
You can get it in Verdanturf city in the Pokemon contest.
I don't know about ruby or sapphire as i don't have them, but i do know in emerald you get the pokeblock case in Lilycove by talking to one of the ladies behind the counter in the contest hall.
Heres a big cheat to get the poke flute go to celadon city and buy a poke doll located on floor 4 then go to Pokemon tower then find the ghost that block's the stairs then use the poke doll to flee and go upstairs and beat the rockets then get the poke flute.