The "T Swiss Made T" indicates that the luminous material used on the hands and dial are Tritium.
The 168010 is for the case, as you noted. The calibre (561 or 564, I suspect) and the serial number are on the train bridge which is hidden by the rotor in your picture.
This is a non chronograph.
I haven't used the Omega full service but, it needs at least a rotor bush to resolve the rotor rub issue and probably further parts. Get different quotes to service it.
I hope you manage to get it fixed and enjoy it.
Cheers, Chris
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