I don't understand how the first 65 S was built in April. They were announced and came out with the new models in Sept. 1964. My 65 S was built in December 1964. Do you by some chance have an early build 64 Barracuda?
That's a '65 Barracuda. The dash is different. Also, no Formula S models in '64. Not sure about the introduction date on the '65. Pretty sure the '64 Barracuda was introduced April 1st, 1964. Maybe somebody swapped radiator supports?