In reply to Randal Scott.

Without a serial number, there is a good chance that Rolex will decline to service it. Consequently, your best option may be to seek out a qualified independent watchmaker or service center that would be able to carry out the necessary repairs. With that in mind, should Rolex decide to service it, they would almost certainly mandate that you replace the case, which would result in a new serial number (service case) being issued for your watch.