You might get pushed down the list or wait even longer till your dealer gets one. Toyota is allocation based, you don't get to request a build. You'd essentially be starting from the start.
Getting a brand new 2 seater sports car at 20 isn't exactly a good financial decision. But if you got the cash you do you. If you're only checking at one dealer that's your loss. If you want to get a good deal you'll have to check multiple dealers.
Try getting financing through a local credit union?
I wouldn't buy a rebuilt one with that kind of damage. If it was just cosmetic that's a slightly different story.
Not impossible. When I inquired about the nsx when it first came out they said I needed to pay for the "special lift" needed for extra low nsx. Told them to kick rocks.