Fantastic watch and among the most coveted from this era- your FIL had great taste, as most pilots usually do.
Agree with all that been said, and I will stress as have the others that you only want a service and clean done to this watch (independent watchmaker with Omega experience, do not take it to an Omega store!) . Polishing the crystal is fine- as long as there are no hairline cracks and it’s only surface scratches (a wet sand can usually bring a crystal back to perfection). Replacement factory crystals are available and won’t hurt the value or originality of the watch.
Most watchmakers will hit the watch with a buffing wheel to “make it shiny”, and that’s death to a vintage piece like this with its sharp case lines and contours that play the light-it will soften the edges like a lozenge.
If the case looks dull to you, a light hand buff with an impregnated polishing cloth will remove a surprising amount of surface gunk that an ultrasonic clean may even miss. Opinions are all over the map on hand polishing but unanimously all agree-no machine polishing!
I love these on that BOR bracelet, but as Crouchy said, they look equally sharp on a strap and can even be dressed down with rustic leather or a NATO strap.