Hi sonoftwo,
Looking at your floorplan, I would expect the front shower and sink to drain into gray #1 and the main galley sink would drain into gray #2. The front toilet would drain into the front black tank. The rear toilet and sink probably both drain into the rear black tank.
If you get a twist-on clear adapter to put on the end of your sewer outlet, you could open just the gray #2 valve and run the kitchen sink faucet to see if water comes out. If no water, and the rear black tank is clean, you could open that valve and run the kitchen sink to see if water comes out.
If you find that the kitchen sink is actually draining into the rear black tank, I'd suggest you call Heartland Customer Service at 877-262-8032 / 574-262-8030. Have your VIN # ready.