Gallery of The Kings:

Council Meeting Hall
The council meeting area consists of multiple seating arrangements around a table that indicate rank and importance. This area is for council members only, which are the king's closest council to the kingdom of Erebor. Here major decisions can be made involving the well being of the kingdom and its people. Non-council members are not allowed.
exception: Royal family and immediate family members
Royal Chambers
This is the area for the royal family and their noble houses reside. Others are allowed to go into the other areas with the families' permission to enter their adobe.
Great Library
This is an ancient library of Erebor, although it collects much dust in the mountains. Scholars can be found studying the ancient scrolls and books that lay within this library.
Dungeon
This is where enemies and traitors are held while waiting for trial or possibly even death if their sentence has been set.