The proper paragraph should be as follows, considering which terms to hyphenate:
Our high school would not reopen until mid-September. We were having a good time during our break by engaging in childlike activities and relishing our semi-independent lives, away from homework and exams.
reopen: This term does not require a hyphen.
mid-September: This should be hyphenated, and the word September must be capitalized.
childlike: This word should be written without a hyphen.
semi-independent: This needs to be hyphenated.
homework: A noun that does not take a hyphen.
