Oh. I should have said, a full restoration that watch does not need.
The bezel looks fine. OK, it's jammed. That is almost certainly just dirt and gunk. Yes it is a little scratched, but you may struggle to find a replacement.
The crystal is bearing many scars, but they don't look deep. That might polish out, it might be cheaper to just get a new crystal fitted. Just doing this alone will transform the look of the watch.
The dial and hands appear to be in excellent condition.
The case is in pretty good condition too. There are a few shallow scratches and dings, but what do you expect for a 50 year old watch? Here is where I would advise the most caution. If you let a watchmaker put that on a polishing wheel to buff out the scratches, you will lose those beautiful crisp edges. It'll look like jelly taken from a mould, all soft and not quite symmetrical any more.
At most, you could lightly re-finish the brushing with one of those abrasive fibreglass pens. But frankly I don't think it's needed.
The bracelet has a little stretch in the links. It looks like its still going to be secure, so I wouldn't worry about this. Personally I find that bracelets are often a tad more comfortable when they go like this. They have a bit more lateral give and twist.
Both the bracelet and the case are a bit grubby though. If you can remove the bracelet you could clean it yourself. Just soak in hot soapy water overnight, scrub with a toothbrush/nail brush & repeat until clean. If sending the watch to a watchmaker, ask them to clean it. It will probably get a trip to an ultrasonic bath.
OK finding parts...
Genuine Omega parts are now only available to certified Omega watchmakers. They guys that I recommended are not that. You may be able to find NOS Omega parts on t'internet or a acquire a donor watch. My local watchmaker will service these, if I ask really nicely. I have a "frequent flyer" arrangement with him where he tells me what part are required to breathe life back into whatever idosyncratic heap of junk I've foisted over his counter and I source the parts.
Do all you can to keep the original crown, hopefully whatever the problem is lies with the stem.
An index wheel is something that a tuning fork specialist will source for you. They are very easily damaged. If you find a non-running hummer on the bay ("Untested" is seller speak for non-running), odds are that the index wheel is kaput.
That just leaves the crystal. A non-Omega certified watchmaker probably won't be able to get their hands on a genuine Omega part. A generic part will fit, but may not have the exact profile of the original - and it will be missing the tiny Omega logo in the centre. The one that's so small you can only just make it out in your first photo. The Omega part will also be much, much more expensive.
I hope that helps. The beauty of asking an independant watchmaker to do the work is that you can (& should) discuss this stuff with them to ensure that they do what you ask, and ONLY what you ask.
And finally, it's lovely. I don't have one of those and I'm jealous.