What "makes" a 66 Barracuda a Formula S ??

The '65-up 13" wheels will fit the 10" drum brakes. The '64 and earlier wheels won't due to a different center hub design. You can tell the difference between the two by the size if the slots between the rim and hub. Real thin slots work, wide slots don't. Factory Kelsey Hayes disc brakes need 14" wheels. The 14 X 5.5 wheels fit fine. Some 14 X 4.5 fit too, but, not all.
Not really sure how to tell the difference on the 14 x 4.5" wheels, but both my old '66 and old '67 Barracudas had K-H discs and the 4.5" wide rims. Then again, both cars came to me that way so I never had to search anything out.