Use Shadow Ball over Recover on Alakazam, since it will most likely get Ohkoed every time, and otherwise Psychic types will Wall you.
Flame Charge is not needed and High Jmp Kick is. Blaze Kick or Flare Blitz fit that move spot way better. Swords Dance or even Bulk Up is a better set Up move than Sunny Day. When available, consider Knock Off or Earthquake over Brave Bird.
On Nidoking, you should go for a Sheer Force one, with the Life Orb it should be pretty powerful. Sludge Wave over Megahorn, Flamethrower over Earthquake and when available, should consider Ice Beam or Thunderbolt over Sucker Punch, Or use Shadow Ball instead.
Lucario is an awesome mixed attacker, but since you are using Swords Dance, I think Iron Tail or Bullet Punch if possible, would fit better than Aura Sphere.