Rare watch, my take is the dial is a restoration job (but an old one) based on the things you have identified and the giveaway that it is marked T - Swiss Made - T, which would have appeared on dials post 1964 (wish) I would say the dial is an old restoration so my advice would be to send it to one of the artisan restorers and get it done properly. As you dont need to work about specifics of script on this dial (as the Omega logo and text are applied markers) it should come back very well.
Case and case back show a little wear but not a lot so all in a really nice watch (dependant on what you paid of course
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I'm sure the experts will chime in soon but that is my two penneth for what its worth
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