Actually, Jack was assigned to the OSS (General Bill Donovan's unit, later to become the CIA- He was jump qualified, the unit was known as the Jedburghs I believe- they later became (under JFK) the elite Green Berets, just as the Navy Frogmen of WW11 later became the UDT and then the elite SEALs.
Back when fly fishing and collecting cane rods and Hardy and Bogdan reels was a passion of mine, I read his most interesting book "Misadventures of a Fly Fisherman" and he did indeed have a 4 pc. custom fly rod and a Hardy reel in his pack. He was captured and escaped and made his way out through France into the Basque area of Northern Spain. 
I believe one of his two daughters took her own life, tragedy seems to have haunted both the Hemingway and Kennedy families.