In order to get into the USNA, you need to have a letter of recommendation from a state official, i.e. senator.
Not if you are active duty, All of the Academies have several slots devoted just to active duty service members of all the branches. One of my friends in the Army got accepted to the Air Force Academy while attending DLI and 2 Airmen I was in class with got accepted to West Point and Anapolis.
