This might be a silly question but its so simple

[FL2024]

I cannot seem to find a clear answer on google. Do Rolex bracelets and clasps have serial numbers? Obviously the case does but do the bracelets? if they do, do they match the serial number on a case?

Also hypothetically, if a watch goes in for service and Rolex ends up replacing the case, does the new case have the same serial # as the old one?