World Events Not Giving Weekly Rewards During The War Within Early Access

wowhead.com:

Several max-level World Activities in The War Within are limited in scope during the Early Access, not giving weekly rewards. We compiled what activities will be limited until the launch on August 26!

For more information on World Events available in The War Within, check our guide!

World and Zone Events in Khaz Algar for the War Within

World Activities Limited By The Early Access

• Theater Troupe in Isle of Dorn: The theater event is available to do every hour, but the weekly quest The Theater Troupe isn't available, which means you cannot obtain the weekly chest Theater Troupe's Trove. The actor chests from obtaining Audience Favor through the event (Amateur Actor's Chest, Novice Actor's Chest, Expert Actor's Chest) are also not being awarded.
• Awakening the Machine in Ringing Deeps: Speaker Kuldas cannot be interacted with as of the Early Access, which means you cannot enter the Awakening the Machine scenario. This means you cannot loot the four chests next to him, nor complete the weekly quest Gearing Up for Trouble for the weekly chest Awakened Mechanical Cache.
• Spreading the Light in Hallowfall: Most of the event is available — You can light up keyflames to spawn bonus objectives, rares and quests that award Lamplighter Supply Satchel. The World Quest Spreading the Light, which grants the weekly chest Radiant Cache, is not available during Early Access.
• Severed Threads Pacts in Azj-Kahet: You cannot form a Pact with the leaders of the Severed Threads during Early Access, which means the pact weekly quests (Blade of the General, Hand of the Vizier, Eyes of the Weaver) are unavailable. This also means World Quests will not spawn in Azj-Kahet during Early Access, as a Pact is required to see these.

World Activities Fully Available During Early Access

• Special Assignments: Special Assignments are somewhat similar to World Emissaries in Battle for Azeroth — Complete three World Quests in an area you have a Special Assignment for, and a special Elite quest