Images are particularly grainy on my computer. But it looks pretty good to me. I think that an original crown will be difficult to find for this model.
Jules Borel says they have it:
http://cgi.julesborel.com/cgi-bin/matcgi2?ref=\]ZETESMXo
However, I don't know if there is a difference between the crown for this watch and the ones on the "civilian" watches with different dials.
Here's mine for comparison:
No US Army on mine, but the family of the original owner said that this engraving referred to a US military basketball tournament held after WWII ended:
I never was able to prove direct provenance to my owner, only that there was a tournament held in Wiesbaden in March 1946. This watch is a Ref. 2179/5.
What Bill is referring to is that I didn't understand the differences between the Ref. 2384 (the other reference for these US Army watches with the same dial) and this Ref. 2179.
What he is saying that if it's not marked "US Army" on the back, it is probably not an issued military watch. This dial style was not exclusive to the engraved watches delivered to the US Army in 1944 and 1945.
Hope this helps,
gatorcpa