Restoring a car without documentation

Head rests were an option in 68. You could get just the left one, just the right one or both........

http://www.hamtramck-historical.com/images/dealerships/DealershipDataBook/1968/68_Barracuda0021.jpg

It does appear that you have a red 383 4-speed 68 Barracuda with the fancy interior.

When you start sanding on it, check for remnants from the stripes.