Parts questions with 166.090 cal.1002

Hello Gents - Thank you for accepting me to the forum.
I have questions regarding a new-to-me Seamaster 'Baby Flightmaster' 166.090 with the cal 1002. Primarily, as you can see from the photos, I don't believe the case screw and clamp are the originals. Based on photos of other movements I see keyhole shaped clamps, and original screws don't appear to corrode quite like this. Normally not too much of a problem, but I'd like to know the correct part numbers if anyone can point me in the right direction. There doesn't appear to be very much information online about these models. Fortunately everything else looks original, although it's seen better days.
Which brings me to another question; It clearly needs a clean and service, but how far should one go with that? Keep the original parts with flaked off paint, or replace/restore? I'm sure this is probably a matter of personal preference, but is there an over-riding consensus?
My appreciation in advance.

Based on most forums, I'm assuming it's required to post photos of the newbie's subject.

I found an image and clamp looked something like the one at left and an Ebay image with a similar clamp

Going by the parts that I can see



To buy it. Email a parts supplier and provide the case reference number and caliber. Also ask for screws if you need them

DON

Thank you Don, I appreciate the information. I found these which I think are the same as the parts you referenced. Whether or not that's the correct part number for those clamps I don't know, but that's what they were found under.

The photo below shows the old versus the part above. Dimensionally they check out perfectly, with a 0.66mm hole size, and 1.48mm hole centre to tip on both. The new parts aren't as chewed up as the old fortunately. I believe the clamps are now correct.

Below is the screw. In retrospect I think it's the original, or at least the same part as an original. I think I've sourced a replacement for that, but will confirm when I measure them side by side.