Recent purchase -- haven't seen one like it!

Hi, I recently purchased this watch. I'm pretty new to Omega watches and I have a lot to learn. I would like to learn more about it -- ideas about dates, do the parts match (originality), etc. I'm happy with the watch regardless of what I learn about it's history. I like the design/style, but hope it is a good purchase anyway! All info good or bad is appreciated. Thanks!

Now for some info:

Case width (excluding crown) = 28mm
Case width (including crown) = 30mm
Lug to lug = about 33 mm
Lug width = 14 mm

Inside of case back indicates that the watch is 9 karat gold and the Omega logo looks like the one I've seen on vintage Omega pocket watches (I haven't seen it on the wristwatches though). The outside of the case back is inscribed with initials ("A P"?) and the date 9-IX-1947.

The movement looks like other Omega watch movements of the era (to me), and the serial number of 10,313,804 appears to date to 1944-1946, which fits.

I haven't seen an Omega watch with this style of dial, though I've only been looking for a couple of weeks.

I think the crown probably isn't original, it looks like it is plated and the finish is wearing off.

Photos are below. I would appreciate any opinions, information about the watch's originality, age, etc. whether positive or ... not. Thanks again!

I purchased the watch from someone in Canada, so the UK is sounding like a good possibility.

I do like the way the dial has aged, but was it originally solid black? The dial is still black around the edge where the minute markings are ...

At 28mm wide, would the watch have been considered a men's watch? I know they were smaller back then ...

Thanks for the info!