Your query is irrelevant, as suspension and inquiry are two different issues based on different criteria, whereas you have discussed only about suspension and non-reinstatement of the teacher by the management on the order of the Dy. Director, but has asked about the legality of the the inquiry, which is a separate issue than the inquiry.
Suspension may or may not be illegal, but inquiry on misconduct of employee is the right of the management. That cannot be illegal.
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