The front of the car has all of the features of a T5 which is the body type that it should be based on the year. It has Elon gated hood, lack of gas access door, and lack of vents under the windshield. The rear of the car, however, seems to be T6 body type with double vent on the rear engine compartment lid and the overall shape looks more like a T6.
. The eBay listing for the vehicle.
The listing has pictures of the vehicle. I also have a certificate of authenticity from Porsche, it is a numbers matching vehicle and it doesn't look like significant work was done although it was re-painted red. Rear view of 1961 356 Notchback showing two vents on the rear lid