Thanks guys. I'm starting to feel a little bit better
I did finally read fine print about "unworn" in the return policy on a different side of the page, so I guess that shoots that 15 day thing down. I still think they were rather trying to jack me with the trade-in value, esp since I purchased it from their store not long ago.
The watch actually does have a slight defect; the crown stud is slightly misaligned compared to the crown guards. I talked to a watch guru the other weekend and he said he had a GMT like this before and it was never a problem, nor did Rolex say anything when he sent it in for his overhaul.
Maybe I should just make peace with the watch and try to bond with it for a while.