I disagree. Because the dates aren't fully aligned, I think you will (and should) get 13 nights credit. Credit for 1 room the night of 3/1, and then credit for 3 rooms each of the next 4 nights, 3/2, 3/3, 3/4, and 3/5. No matter how you slice it. It's possible you might need to send to research to intervene.

I don't think you should earn 4 stay credits though. On the overlapping 4-night stays, you can't earn more than 3 stay credits. And think of the 3-night stay this way - if it were a 1-night stay in front of a separately booked directly in front of 4-night stay, you shouldn't get credit for it. This doesn't mean the system won't accidentally give you 4 stay credits, but I don't think you are owed 4.