Should I mention my reference's university role (administrative) when listing?
The thing to remember here is that your reference letter writers will be providing official letters, and therefore will be including their full titles (presumably the letterhead will list this). In such a case, it doesn't really seem to make much sense to "hide" the status of the person writing the letter. Moreover, if the position is one which will include some administrative duties, a letter of reference from someone doing university administration might even be a plus.