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(Of course names are an option in this context.)

Yes, this is a case where you aren't forced to use "you" ambiguously in that context.

No, because "you in the back" could refer to just one person in the back, instead of several.

If you meant to address one person, you'd have said that one person's name, instead of voluntarily introducing ambiguity to the situation. Context & body language also makes this obvious. If you meant one person, you'd be making eye contact with one person instead of a group of people, etc. Students also know if they're paying attention or not. "The back" is not a specific area.

"You in the back" has the same level of specificity. Other options include (again) naming names or calling out a more specific location "You in the back row".
Surely, you knew all of your students' names and if you were addressing one person, you could've used their name. Addressing the class as merely "class" seems adequate as well. I'm having a hard time thinking of a situation where you are forced to use "you" ambiguously.
This administration is overstepping legal bound left and right. If they want you in trouble, you'll be in trouble. Appeals to law, even if successful, will take too long.
It does a good job of when a VIP employee demands "copilot", you have to buy a bunch of different licenses for them because no one knows exactly what they want (they just want copilot, no not that one).