The word "heal" is a verb that means to make or become healthy again, especially after injury or emotional hurt.
A: Correct usage - "Heal" refers to a wound becoming better, which is a standard use.
B: Correct usage - "Heal" is often used metaphorically to refer to emotional recovery, as in "time heals all wounds."
C: Incorrect usage - "Heal" is not appropriate here. Teachers don't "heal" students with homework; a better word would be "help" or "support."
Thus, option (e) [Only A and B] is the correct answer.