Vintage Omega with waffle dial circa 1953

I bought this watch specifically for the dial.I haven't seen it very often, and it's very similar to my dad's Rolex dial which I inherited. Got it at a pretty good price at auction.And it looks good, but not sure if it may be a redial because I don't see the word swiss at the bottom. Aside from that, it's a bumper movement and pretty accurate. I'll probably have a service. I was wondering any thoughts. I value this forum very much.

As for the box, it looks probably of the same period but these can be bought on eBay. So who knows if it's the original box? And on the band the buckle is likely aftermarket. As for the crown, I think I see the omega symbol.It may be worn down or possibly a replacement. Thank you.