Brother,
it is an incredible story and while your Pop is still going strong, I think you should do an oral history. ย i was too young when my dad (USN tin can sailor from WWII) died to ask the right questions and I regret it to this day. ย Any/all details are well worth capturing and, assuming your dad agrees, sharing with vets either in a formal publication or something like medium.com.
When you do ask about his service, you can drill down on whether it was a PX watch or some sort of issued watch. ย If the former, then you can do plenty of searches on PX Seikos of the time. ย It could be either of the watches you mentioned or something entirely different!ย
If an issued watch, then as mentioned by a previous writer, his teammates should be helpful. ย I would be surprised if it was an โissuedโ Seiko. ย At the time, issued watches were Benrus, Waltham and Bulova. ย MKII watches make a terrific Benrus homage (though you have to be lucky to be ready when their small batches are for sale - so far, no luck at this end).
anyhow, it is a great project and I wish you good hunting and good fortune!
JR