
I am thinking that the picture above is the floorplan that you have with the kitchen sink in the front? It does seem strange for you not to have some type of vacuum breaker under the sink and those can sometimes stick open. It might help if you could post a picture of the plumbing under the sink. I am guessing that there is no roof vent for the tank either and that whatever that is on the side is intended to perform both the vent and the vacuum breaker functions. To me it sounds as though that is not working properly and the water is being drawn out of the P-trap under the sink. I would complain to the dealer you got it from, and if you use it before that, try adding a couple of cups of water to the trap after the sink is empty each time you use it.
It is actually quite normal for the gray tank odor to be as bad or worse than that from the black tank but it is normally vented out the roof so we don't experience it.