Bhat said the terrorists were planning to target the Army's Agniveer recruitment rally, which concluded in Pattan's Hyderbeig on Thursday.
Aurangzeb was abducted when he was on his way home in Rajouri district for Eid celebrations.
Aurangzeb's family had made an emotional appeal to the PM to avenge his death.
Rawat conveyed to the family that forces stood with them in their hour of grief.
Aurangzeb, who was in blue jeans and t-shirt was being asked by suspected Hizbul Mujahideen terrorists about his duties, posting and encounters in which he participated in 1.15 minutes video probably shot in a forest area, they said.
The three soldiers are being quizzed on suspicion that they might have knowingly or unknowingly leaked information about Aurangzeb's movements.
The death of a 33-year-old civilian during a fierce encounter in the south Kashmir Pulwama district triggered tension in the area.
Rifleman Aurangzeb, who belonged to the 44 Rashtriya Rifles, was on way back home on June 14 to celebrate Eid when terrorists abducted him.