OK - RELAX! Some things you cannot control. You are applying to boarding school, not a D1 program!! Some leagues & schools prohibit such contact. You sent your video and email, now leave it to the admissions Gods/Goddesses. Very few kids get actively “recruited” to attend a BS for a particular sport. We did know of a basketball kid whose older brother played for the school, for example.
Also, some of the smaller schools use part-time faculty for coaching. If they are faculty, then they are super busy wearing many hats at BS - not just the coaching hat.
That being said, we do want to thank 2 coaches who watched video and responded to kiddo - even via FaceTime call to discuss their particular sports program and offered suggestions for improving technique.
Frankly, if you play a Spring sport, you may not even hear from your target coach or speak to that coach until way into the school year.