WowAce

Is there a feature currently that can be utilized to pull the ledger/logs from your mail/account??

For example: A way to view everything you've purchased in the auction house, its costs, etc?

I'm trying to find a feature that can show me what I purchsed from the auction house, to determined whether I messed up or whether my account was hacked.

There is not such a feature in Postal and there are no plans to add one.  This would require Postal to track and log each mail transaction as it occurs since Blizzard API's do not allow addon developers access to this information.