From wiki:
Kennedy enlisted in the United States Army in June 1951.[9] Following basic training at Fort Dix, he requested assignment to Fort Holabird for Army Intelligence training, but was dropped after a few weeks without explanation.[9] He went to Camp Gordon for training in the Military Police Corps.[9] In June 1952, he was assigned to the honor guard at SHAPE headquarters in Paris.[4][9] His father’s political connections ensured he was not deployed to the ongoing Korean War.[4][10] While stationed in Europe he travelled extensively on weekends and climbed the Matterhorn.[11] He was discharged in March 1953 as a private first class.[9][11]
Plus Senators can be buried there also. He qualifies under two criteria.
He is in hell now, but he does qualify for Arlington.
he requested assignment to Fort Holabird for Army Intelligence training, but was dropped after a few weeks without explanation