THE PILLARS ROOM ( POKEMON CRYSTAL CLEAR )

This one is a very long puzzle to solved but i had fun do it (except some part). By the way i couldn't done this by myself. A big thanks to Allen, his walkthrough from reddit really help me a lot. you guys can check his post here   / walkthrough_for_pokemon_crystal_clear  

Edited:
1.Thanks to @Le Neff for for telling me after you catch Mew, meet Mr. Fuji with Mew, then you can make the third pillar crumble.

2. For the " Wild Xatu used Haze" part, our friend Al Kelly said no need to find wild Xatu that have Haze, Just use Pokemon with Haze move on any wild Xatu you found.

3. Make sure you completed the Unown Tablet by catching 25 of them including the specials to make the 5th pillar crumble. Credit to Simone Spina