no
Yes but it was a solid one piece watch, not a band.
On the modern Rolex Oyster case, the serial number is located between the lugs (where the band attaches to the case). On one end, you'll find the case reference number. On the other end, you'll find the serial number.
The population of Rolex is 2,800.
Depending on condition, and the material used in the band and case, between $2,000-$9,500. Most likely on the lower end around $3,000. But bring it to a certified Rolex dealer to confirm that it is real. Even fakes use real Rolex parts to make theirs look real. And all original parts in the watch increase its value considerably.
Yes, anything metal may be plated. A lot of people will not do this to a rolex though because it will make the watch look fake. You could always buy a gold bezel and aftermarket plated two tone president style band without ruining the watch case or original band.
Rolex is pronounced as "roh-leks." The "x" in Rolex is pronounced as a "ks" sound.
Rolex Sweep was created in 2009.
Rolex Milgauss was created in 1954.
Rolex Datejust was created in 1945.
Rolex Tower was created in 2010.
Rolex Daytona was created in 1961.