General Discussion

In my experience universities review quantity, subject matter, and readability of publications, but no one checks for plagiarism.

As for who does the checking - at least for law faculty - most faculty do not submit to their own institution for publication. So it is usually going to be someone outside of the University checking the citations. And, for law faculty, that means it is being checked by a student at another law school.

There are two things going on:

The standard (everyone's work is held to the same standard)
Level of scrutiny (the amount of scrutiny an individual's work receives to determine whether it meets the standard varies dramatically based far too often on who the person is).

Both for students and faculty, it is important to ask why a particular person's writing is being scrutinized. Is that scrutiny part of an evenly applied evaluation of all work - OR - as here - is the scrutiny occurring because it is an easy way to get rid of/punish an inconvenient person (while turning a blind eye to whehter others are meeting the same standard).