Nice collection. The Omega is from the 40s. There should be the W.W.W. and some other marking on the case back (serial number). It is a military issue. I suspect the hands are wrong for the watch.
Very interesting...Military issue for whom if I may ask- British/Germany? Switzerland was a neutral country during the war.
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The W.W.W. watches were issued to the British Ministry Of Defence. There were others including JLC, IWC, Longines, Eterna, Cyma etc. As for the Germans, I believe there were Laco, Stowa, IWC, Wempe and Lange.