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This is an amazing and concise answer. I really appreciate it. The crown wasn’t replaced to my knowledge. It had this pretty thick (well, thick for gold) Omega branded “cap” on it that kept getting loose. I saved it for a few decades but can’t seem to find it now. Charles was my grandfather. He worked for NY Life for decades and was evangelical preacher. I was given it when I graduated high school (maybe college).
What a lovely heirloom.
If you will wear it have it serviced by an independent watchmaker with Omega parts account- service movement only no polishing- I would replace crown with Omega service crown to achieve water resistance. Keep original hands of course they are in very good condition. Crystal has Omega logo etched in center so i would try to keep it if no cracks. Any scratches can be polished out easily by watchmaker with Polywatch. The Speidel flex band was popular at the time, most would replace with nice black or dark brown leather strap as the spring endlinks can chew up the watch lugs.
These are "unishell" cases only open from front and require special tools and experience. Ask watchmaker to photograph inside caseback and movement show serial number for all the information. Because of the unishell design these were more water resistant and had fewer openings so they hold up well over the years. The watch should be perfectly wearable with the above.