That's not looking like a $1600 watch to me whether it comes with a BOR or not.
Besides the fact that the case back is from a different reference the nail in the coffin is the mismatched gold colour. The dial furniture looks to be rose gold and the wrong case back medallion appears to be yellow gold. A correct watch would of course have matching gold details throughout.
I'd say avoid, for that kind of many there are plenty of good Constellations to be found.
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