Yeah I have done all of that too. I've been selling for quite a while and then they stopped using Paypal and all of a sudden the payouts starting being deposited into my bank account. They already apparently had my account number and everything. It's a major bank so that's not the issue I don't think.
Everything seems legit because it was on my ebay messages and they are holding back a payment that they owe me. I just don't want to give out all that stuff so I really don't know what to do and how to get my money they owe me I have alot of other things listed right now and I don't know if I should just delete them all or not.