The 4th DLC – The Awakening might not be available to play on your own accounts due to game-sharing issue on Sony’s end. The rest of the content will be working just fine.

The Call of Duty®: Black Ops III Season Pass delivers 4 epic DLC map packs in 2016 with all-new multiplayer content, including re-imagined fan-favorite maps from Call of Duty®: World at War and the Call of Duty®: Black Ops series, plus thrilling Treyarch Zombies content, all for one great price.

Requires “Call of Duty: Black Ops III” base game.

If you are looking for the base game: Call of Duty: Black Ops 3 (Base game, no extra content) 
If you already have Black Ops 3 and looking for Zombie Chronicles expansion: Zombie Chronicles Expansion (DLC without game)
If you are looking for base game + DLC packs: 
— Deluxe Edition (Base game + Season Pass) 
— Zombie Chronicles Edition Standard (Base game + Zombie Chronicles Expansion) 
— Zombie Chronicles Edition Deluxe (Base game + Season Pass + Zombie Chronicles Expansion)