Couple of things that I noticed:
First I noticed the engine photo did not show the master cylinder, the original type of MC for the 63 are rare and very expensive. Most used a replacement that had a bail wire or clip wire over the cover.
Second, I noticed no ignition shielding on the car at all.
Next, I would look closely at the valve covers, are they original or the flared covers.
Car overall appears to be in great shape, but same thing applies have somebody who is knows these cares go with you to check it out. especially the rust on the frame...
Good Luck,,,