The interior labels are always more specific than the rear badge. It's just saying you have a 325 (which you do), fuel-injected, automatic. I would assume the 2 denotes the coupe form (just as the 's' on rear badge does). You see, the interior labels just have a more uniform, precise encoding (the encoding of the badge appears to have changed over the years).
So, anyway, no, I woudln't start worrying that your car has been rebuilt or anything.
DISCLAIMER: I don't yet actually drive a BMW. Currently, I proudly drive a '93 Volvo 940, the inspiration for my love of RWD cars.