Any information on case with 1944 movement

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Hello,

I have a watch that has a 30T2SC movement with serial number that puts it in 1944. The case is not appear to be Omega, no Omega marks. 10k gold filled. It has some stamped letters in script. Look like "SD", "LD", or something similar. The case has watchmaker's marks inside. The dial has scratches likely from when hands were removed. Is the dial a redial or original? Any information on the case? Did Omega send movements to the US and jewelers put in a case as a way around taxes? Due to war time and this looks like a civilian version, did cases switch? Any info would be appreciated, thanks.