Where to find figures (forks) of the Queen and the King
Go to the storage located in the Lower Sewers. To get there, you need the T-shaped valve handle, which can be found in the treatment room.
Once you've got the T-handle of the valve, use it on the airlock to get to the Lower Waterway and into the vault. Then follow the instructions below:
Where to find the Rook figurine
Open the lock located on the Lower Waterway in the Lower Sewers to the workroom elevator. Then take the elevator to and from the workshop - you will find a plug in the socket. Take it and go to the monitoring room.
Solving the puzzle
Note: the wall on the right is where the pawn label is located, and the wall on the left is the knight's label.