Elite Watch Co. 10K. RGP Case, stainless back. Diamond and ruby dial.
Welcome and thanks for sharing. You watch bears a Bulova movement with no serial number stamped on it. The "Omega" date stamp was used in 1930 and 1940. With the absence of a s/n on the movement (which would be present in 1930), it would date the movement 1940. The case and face are not Bulova and were likely sold as a kit to refurbish a worn out watch.
It's a handsome watch, wear it and enjoy it. This watch is what we refer to as "Non-conforming". It's not a put-down by any means, it just means the watch can't be identified as a Bulova model due to the fact it's not all Bulova parts.
1940 Non-Conforming
In reply to Welcome and thanks for… by neetstuf-4-u
Movement is a hight quality 10AE. We don't see too many "AAA" versions. Unfortunately the movement has been rehoused in a non-Bulova case and dial, making it (as beetstuf-4-u said) a non-conforming watch, meaning we'll never be able to correctly identify the original model. Still a pretty neat looking watch.
1940 Non-Conforming