THE MARKERS AND POINTERS OF MY ROLEX SUBMARINER ARE NO LONGER LUMINOUS IN THE DARK. CAN THEY BE RE-COATED? ANY IDEA OF COSTS INVOLVED

The most secure way to check a Rolex is to go to a specialized trade. The following Link gives you a overview of specialized dealers available in USA: http://www.rolex.de/de/rolex-dealers/dealer-locator/unitedstates
Best Regards
Mike (Germany)

For Casio watches, the number on the back is the module number. For ROLEX I have no idea. Never saw one in my life.

The most secure way to check a Rolex is to go to a specialized trade. The following Link gives you an overview of specialized dealers available in USA: http://www.rolex.de/de/rolex-dealers/dealer-locator/unitedstates
Best Regards
Mike (Germany)

First, if you want to know why the brand is so expensive you may want to watch this demonstration of a Rolex Submariner being disassembled. The video shows intricacies involved in the making of the timepiece in exquisite detail.
The demonstration is, of course, performed by a professional watchmaker, who meticulously picks apart the watch with great skill. It goes without saying, unless you've managed to get one for free, you shouldn't try this at home

this link will help you
Identify Counterfeit Fake Rolex Watches Rolex or Replica Don get Screwed

Your Rolex sounds like it has a problem with the automatic winding gear train.A Rolex needs regular servicing when parts can be inspected and replaced.Servicing is about 3-5 year intervals.
You need a specialist Rolex watchmaker as only they can obtain Rolex parts.Try www.rolexrepairs.co.uk a full service will take 2-3 weeks.

Genuine ROLEX watches oozes wiyh quality. Visit Rolex site and compare with yours.
www.rolex.ch

Sounds like mainspring is not holding in place and getting undone (unrolls by itself), that what usually causes the vibration.
W-Precision

on mine I removed a couple links using a jeweler's screwdriver(flat-blade). Look for the screws in a hole along the narrow edge of the links nearest to the clasp. Use care in removing/replacing these screws, you do not want to break or strip them using excessive force. If you need to remove more than one link, take additional links from the opposite side of the clasp, so the clasp stays centered on your wrist.

I don't know if I can help you out, but I can tell you that even a low quality Daytona, or Submariner copy can be adjusted. My 1992 Daytona copy is at about 10 sec a month fast. I read a **** load about the movement, and did the adjustment myself. Any watch shop that tunes watches can do it.

I don't know what year your Submariner is, but today Rolex is using a new main spring (it is now blue). I would think a replacement spring would be the most you might need, but a good tune-up should do the trick. If it is real, I would think about sending it to Rolex for cleaning and a tune-up ($$$).