Don't know if you found out what was wrong with your light, but I can tell you what happen to me just 2 months ago. I to had just finished doing an M416 trailer. Yes I know it is not the correct trailer for the M37, but I was made an offer I couldn't refuse.
Any way I had park lights, brake lights, flashers, left turn signal but NO right turn signal. I tried everything from testing each line continuity to reversing the harness think that would help.
On the M37 side I had everything working both right and left. So I firgured that it had to be the plug. Not knowing just how to test the plug, I ran a jumper wire from for the right turn signal, from the plug - forgot what number plug it was - to the right turn signal plug on the trailer. They worked - then nothing

No lights on the trailer end or the M37 end.
I found out latter from CHARLES that I had blown my flasher unit. It was toast. So I ordered a new one from - what a great an knowledgable guy, he know everything about M37.
I wish I can tell you how this story ended but I have been to chicken to test it with my new flasher.
I am telling you this because unless you have losts of money to burn - in my case toast - ask questions and ask more questions again. Then do the testing.
Sorry to be so long winded, but I just don't want anyone else making the same mistakes I did.
Good Luck
Carmen