The car sounds ok based on the data. The VIN fits the 01B build date; engine date of January 8 is also in range. The partial VIN would be stamped next to the oil filter, not on the deck. The car may have had a Hurst Super Shifter in it at one time, requiring the tunnel mods. Rear axle is not original as the 3969341 casting entered production around August 1969.
Get a good photo of the body tag. Usually easy to tell if it has been off the car.