The Auction House is part of the Market. The Mystery Shop and the Auction House have a button for each inside the Market.
This is what the market looks like when it has the Auction House. Left side is Auction House Right side is Mystery Shop. German version has Auction House as well, I'll check the French version in a few, but it probably does as well.
Homestead might be for the Player's pets, but I'll see those next chinese patch.