Create a position (or probably department) for quality control. Automatically send "you plagiarised, warning" letters to the student and the person who paid for the course if the submitted work receives a score above X threshold for plagiarism (this threshold to be chosen by an inter-university body and preferably standardised across universities).
Obviously a student would be able to appeal and have proper analysis done by a department member. A second warning without appeal would get a student a P grade for "admitted plagiarism".
This way the teacher just teaches, just marks the work submitted and the administrative duty of notifying students that their plagiarism has been spotted is separated and codified.
Um, no. No props for simply admitting his weaknesses.
Props are for succeeding in controlling them, and for having shown that one actually does more than just going "look at these weaknesses in me these students are triggering in me with their terrible behaviours".
Props for just admitting weaknesses has a good chance of making people go complacent and "look, I'm just not good at XYZ and therefore I have to be an asshole", instead of working to improve.
This would be appropriate to anyone and everyone who is using a judgement here.