Okay, so Barahir had twelve companions, and Barahir + eleven of them died. Beren was the sole survivor.
But whose actions led to their deaths? Hmm...
-Gorlim the Unhappy was the actual betrayer. His secret hunting for Eilinel led to his capture, and his yielding to Sauron's temptation led to his death and that of Barahir's band. So he gets the actions part.
-Sauron planned and organised their deaths, but also plenty more, so 'exactly' rules him out.
-Eilinel is blameless. Sauron seems to have used an illusion, not her actual spirit, to tempt Gorlim.
-Barahir could arguably be blamed, given that his actions in keeping the gang in Dorthonion led to their deaths... but that also, ultimately, led to Beren's death.
So I think the answer has to be Gorlim, son of Angrim, husband of Eilinel, called the Unhappy.
hS
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