your school
Honorific term used to refer respectfully to the listener's or reader's school. Common in formal letters, speeches, and business communication.
I wish your school continued prosperity.
I was deeply impressed by your school's educational policy.
I sincerely hope to be admitted to your school.
I am applying with your school as my first choice.
I wish for the continued growth of your school.
貴学 is used specifically for universities or colleges, whereas 貴校 can refer to any type of school.
貴校 respectfully refers to the listener's school, while 本校 is the humble/neutral way a school refers to itself.
Compound of 貴 (ki, 'noble; your') and 校 (kō, 'school'). The prefix 貴 is a common honorific in formal terms like 貴社 (your company) and 貴国 (your country).