Your father is half right, however I would argue that being agnostic is the only logical choice. Agnosticism deals with knowledge, not beliefs. When you take "knowledge" in an absolute literal "x is true" sense, then agnosticism is simply an acceptance of human fallibility.
So, you either have to argue that you are infallible, or you have to be an agnostic.
I should note that being an agnostic does not prevent one from being religious, or being an atheist. Religious and atheistic beliefs are beliefs, not knowledge, so one can happily believe them but never claim them as absolute truths (though one can state a belief that they are absolute truths without invalidating ones agnosticism).
So, you either have to argue that you are infallible, or you have to be an agnostic.
I should note that being an agnostic does not prevent one from being religious, or being an atheist. Religious and atheistic beliefs are beliefs, not knowledge, so one can happily believe them but never claim them as absolute truths (though one can state a belief that they are absolute truths without invalidating ones agnosticism).