What is the ruling on the general supervisor compelling a student not to shake hands with his colleagues, to abandon enjoining good and forbidding evil, and not to speak about religion inside the school?

Shaking hands between Muslims is religiously desirable because it is a cause for forgiveness. Mutual advice, enjoining what is right, and forbidding what is wrong are among the most emphasized religious requirements, as stated in Surat Al-Asr and the as-Sahih Hadith. If you fear problems from inviting people in a specific place, try to invite them outside that place or individually.