The title matches the fender tag which is unmolested. Door tag is gone and have not gotten the scotchbrite out to check the core support or trunk lip yet but I think its the right title for the car.
If the title matches the fender tag AND the stampings on the car..the news is good. You own the car. Most states have a way to register a car without a vin. (and yes, as stated before, it sometimes involves the use of a special number issued by the state). Too bad about the door vin. It's a full VIN number and in some states (including Georgia) it would be accepted and legal to run as is. The fender tag and body numbers are "partials" and will have to be verified. Anyway, it would be far worse for you if the vin and title did NOT match the body numbers.
If your state allows you to change a title into your name without them looking at the car, do it right away before you register it. Hopefully you got some sort of sales receipt with the title vin on it.
Now I'm certain what I'm about to suggest will be POUNCED ON by every troll on this site! It's an emotional issue and major point of contention, but, at this point you need to decide if you'd rather make life bad for the seller or if you want to keep the car. Each option requires a different course of action. The more negative internet publicity you bring on the seller, the more you publicize the fact that your car is a problem child. It's much easier to fix your paperwork quietly if you want to keep the car. Going to the motor vehicle department with a title in your name and saying "I lost the vin during the restoration" is going to cause less scrutiny than telling them that "some out of state SOB sold you a car without a vin". Even with the title in someone else's name, it will be easier to say YOU lost the vin than to offer any suggestion that it may be less than legitimate.
Also if you post the VIN online ANYWHERE it will never go away! Any Google search for stolen vehicles will bring it up immediately. We can argue forever about right or wrong, good or bad, but there are registry groups that scour the internet and create databases of any vehicles that have questionable backgrounds. Even the pages of this site are stored forever and what we are writing at this very minute will be available on searches for years to come.