If you are gonna sell them to official companies - very bad idea. If you are about to sell to resellers, on market, here e.t.c. - yes, you can card it, no problem
I can get you more info on that today, im not sure that by serial number you can check if rolex is reported stolen or not. By the way, im also unsure that Rolex can be reported stolen and you can see, its a clock, so it should be much harder for them to track or get info about it in any way.
You can buy go for it , the rolex market is HUGE. and if you happen to find someone who was to check the serial usually you go to a good diamond shop with them they will just open the watch and check the serial on the side of the watch to check the type of model , but nothing like going in to the database and stuff like that , i guarantee you will sell 100% if you get , i would be one of your customers if you happen to get them. good luck.