Looking for Advice 1959 Rolex 5512

[Baldwin1881]

Hi. First time poster. I know my way around vintage watches, but never learned the minutiae surrounding the Rolex Submariner. I have a model 5512, serial number 478XXX, the inside case back says 5512 & III.59. I've attached some pictures & I can provide my observations but please bear with me as I am using terms that I have gleaned from other posts & probably don't fully understand. The case looks like either an "eagle beak" or a "PCG" The bezel has a faded red triangle & a "long 5". The hands are "flat" & appear to be the "correct length", the dial does not say "superlative", says only "swiss" at 6 o'clock, the coronet has the "long right hand spike" The text is white except for the depth rating & chronometer verbiage which is almost a lavender color. Lume on the dial & the hands match exactly but it does not appear to be Radium, it looks more like tritium, the dial does not appear to be relumed. The movement is a 1560 with 25 rubies & copper colored auto wind gears.
When I received this watch, it was on a Spiedel band, heavily encrusted with gunk & a very scratched crystal. So far I've only cleaned the case & polished the crystal. I need to repair the movement but I thought it best to ask for a few expert opinions before I do anything irreversible.
Is this anything that the Rolex Forums community is interested in talking about?