>>I am in and out of town, on business. I left a copy of my credit card with the rental company, so I may call in payment, incase I am out of town.<<
Why on earth would you do that? When payments are due, you could have just called them with the CC information.
>>The charges has caused overdraft charges and insufficient funds, on my account. What, if anything, can be done?<<
How can there be overdrafts and NSFs on a credit card? Is this a debit card??? And if so, you either gave permission in the agreement papers for the store to do this, or they took your card and entered it without the PIN. I can't think of many places that allow to do non-pin transactions.
Is it that the rental company asked for a copy of your card? I'd read your agreement carefully, I bet there's language that allows them to do this.
Regards, and good luck,