Nice car!
I'm fairly familiar with the '56 and '57 T-birds as a couple of my customers have them.
I've found the '57 drives much better than the '56 but I can't find a reason why.
Things that add value that I can see in the pictures are:
Hardtop
Tachometer (cable driven)
Correct engine (allegedly) with correct carburetor (allegedly)
Skirts (where are they?)
Continental kit (I hate them, I think they look awful but the old farts seem to like them)
Big engine.
Here are the cons I can see from the pictures:
Markings in the engine bay are missing. There are several water-slide decals that should be on the firewall and are missing. Not a deal breaker but you would lose points in a judged show.
"swiftsure power brake" trim is missing from the center of the brake pedal.
Some things to be aware of:
It's not a fully optioned car. There's no A/C, not sure if it has a power seat.
Exhaust manifolds have been ceramic coated.
Teapot carbs are nicknamed "The towering inferno" for a reason. In typical Holley fashion they have gaskets below fuel level but in the teapot, they placed the float bowl above the carburetor instead of beside it. Weeping gaskets plus a sneeze through the carb can result in an engine fire. Just keep an eye on it and you should be fine. As long as you are aware of it's foibles, you can manage it.
These use a goofy "Load-A-Matic" distributor, it's particular to the engine / carburetor combination. If you swap carbs, you won't have the correct vacuum plumbing for the distributor to work properly. A later Y-block distributor can be installed but you might lose the tach drive.
Engine only starts in "N"
Transmission is a three-speed but starts out in 2nd gear unless you manually select "low"
Ask to take the hardtop off. Dirt gets under the gasket at the back and will rub through the paint.
Y-blocks have solid lifters, there may be some valvetrain noise.
Go here and decode the VIN to see how correct the car really is: http://www.tbird.org/DataPlate/cdata.htm
If it were mine:
Ditch the whitewalls and get rid of the swim deck on the back. It's supposed to be a sporty car, make it look right.
Hope that helps.