I got banned from the Amazon Affiliate thing they have and I made a new account and they want my SSN would it be safe to put in my real SSN as I have on the banned account?

no.

use new SS...new address... new person basically.

If you use the same SSN Amazon will ban again. Try to use your gf personal details or family.

New person details, got that What about the bank details? Will Amazon ban the new account if all the money goes to the same old bank account? I guess yes but I would be happy not to use the bank details of another person even family.

unless you use direct deposit they dont ask for bank account