383 or 413 advise

The transmission from the 413 should bolt up to you 383 unless that 413 is a super early engine. Odds are it will be fine.

A passenger 413 will work just fine in an A body car. The 413 was also made in a truck version and you wouldn't want to install one of those in an A body car.

You might want to buy a few books on big block Mopar engines before you spend too much more money. Just click on Amazon.com and search for Mopar big block. You'll find 3 or 4 books which will help you with these questions.