In a nutshell, the 7th had responsibility for
White Star in Laos 1960-62 while the 1st had generic responsibility for SEA. The first ODAs rotating in and out of Vietnam were on 6 month TDYs from the 1st (beginning in 1957) and 7th, and then the 5th later on prior to their moving from Fort Bragg to Nha Trang and assuming overall responsibility for Vietnam in Oct 1964.
The first MOH awarded for Vietnam went to CPT Roger Donlon for ODA-726's defense of Nam Dong in Northern I Corps on 6 July 1964.
http://www.militarytimes.com/citatio...cipientid=2800
The Team Sergeant, MSG Gabriel Alamo, was posthumously awarded the DSC and the 7th SFG's
'Alamo Parade Field' was named in his honor.
http://www.militarytimes.com/citatio...cipientid=5540
Ian Sutherland's "
Special Forces of the United States Army" and Shelby Stanton's "
Green Berets at War" offer a pretty good history of what you're probably looking for here.
Richard