Fletchinder evolves at level 35.
Tyrunt evolves at level 39 during daytime.
To evolve Eevee into Sylveon, you need maximum Affection AND Enjoyment in Pokémon-Amie. This is best accomplished by spamming Poké Puffs until your Eevee won't eat any more, play mini-games to increase it's hunger, then repeat the process. It will take roughly an hour to max all stats. Your Eevee also needs to know a Fairy Type move.
If you breed an Eevee, it will learn a Fairy Type move at level 9. If you catch one in the wild on Route 10, it will have a Fairy Type move if it is exactly level 19. If you catch a wild Eevee at a higher level, it will learn a Fairy Type move at level 29. Furthermore, Eevee is compatible with many Fairy Type move TMs.
If your Pokémon-Amie stats are maxed, Eevee will evolve into Sylveon on the same level he learns a Fairy Type move. If you teach it a Fairy Type move with a TM, level it up once after.