A search warrant released to the public Wednesday also says 36-year-old Reed admitted the killing.
Reed is charged with first-degree murder.
Hinkson’s body was found Aug. 10 in a heavily wooded area of Eno River State Park about 15 miles from his home.
His family had last seen him seven days before when he left to run errands. His car was later found abandoned in an apartment complex about five miles from his home.