Congrats to your S on the offers.
You have to complete all required essays. I encourage your S to also complete any optional essays. Your S should talk to the coach about application specifics.
There are always some risks. It’s not common that a coach would pull support because of an injury. But they can, and it’s happened….less so in D3. There’s also risk that the coach leaves to take another job. At this point unlikely for the admissions season, but not unheard of. Coach could potentially leave before next year as well. I’m sure your S knows playing time must be earned, regardless who the coach is.
Good luck making the final decision and thru the admission process.