I am not sure I totally follow this or if I'm in a position to comment on the ruling of a particular admissions officer, but it seems to me you can still just send in your transcript. Just because there is a clerical error on it (one that seems completely trivial if I am understanding you correctly - your father's name?), that doesn't change the recording of your academic standing. I would send it in as is. Maybe use the optional essay to explain that you are in the process of getting that small error corrected, but I don't see how it fundamentally changes anything.
Short of that, I would send in the unofficial sheet with a note saying who instructed you to do so. That should suffice.
Good luck to you.