It is an interesting read. Being a private institution LA has very limited rights. Provided the procedures are followed it provides very little arguments for success. There is one section that seemed it might be successful.
“contrary to petitioners' contention, we conclude that the sanctions imposed on each of them are not "so disproportionate to the offense, in the light of all the circumstances, as to be shocking to one's sense of fairness" (Matter of Pell v Board of Educ. of Union Free School Dist. No. 1 of Towns of Scarsdale & Mamaroneck, Westchester County, 34 NY2d 222, 233 [1974] [internal quotation marks omitted]; see Powers, 25 NY3d at 218; Lampert, 116 AD3d at 1294).”
It seems like LA could argue based on all the circumstances that is “shocking to one’s of fairness.” Being suspended for two semesters for throwing one punch in self defense shocks one’s sense of fairness.