You should be fine with a religious amulet in your room. You may need to move it a few times a year for sami inspections, but no one will care.
Source, am cadet.
I'll be attending USMA class of 2020. I'm also homeschooled. I can perhaps shed a little light on the sports question. Varsity sports were something that congressional nomination people and FFOs stressed very highly. One thing you should look into is the status in your state of allowing...
It's not quite what you were asking, but I have a 2020 appointment to West Point, but Stanford decided not to accept me. Which is kind of funny considering West Point probably let me in for my academics (36 ACT, 4.0, etc). Good thing West Point is the first choice!
Numbers I have heard are about 50% of USAFA grads fly and 40% of USNA grads fly. Idk about fighter pilots though, but I'm sure they are rarer.
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I'm also a 2020 candidate and I want to reiterate what someone already said about test prep books. They tell you what concepts to study and teach you test taking skills. There are also online tools to help prep, use them.
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