In a perfect world you are independent and do not have any other responsibilites. It will be difficult to audit the areas you have mentioned that you will still be performing and your access level to the bank systems is more than is needed for auditing. In a small bank, it may be more difficult to do this. I would question the need for you to complete transactions and sign bank checks, but will your external auditors be reviewing the other areas you mentioned or will they be outsourced in some fashion?
Has your institution been told they need an internal auditor? If so, what functions do they want audited?
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Do what you can, with what you have, where you are.
~Theodore Roosevelt~