The FIR against Varinder Singh was registered in Rohtak town.
A case against Khalid and Bhattacharya was registered at Vasant Kunj police station.
According to the victim's sister, Kuldeep soon took out a gun and shot at Prinki, police said.
With his party in a buoyant mood in Punjab, AAP leader and Delhi Chief Minister Arvind Kejriwal will begin a five-day visit to the state from Thursday.
In a sign of people's anger over the mindless violence that rocked the state, Haryana Chief Minister Manohar Lal Khattar faced angry traders and residents in Rohtak town and was forced to retreat and leave for Delhi.
The decision not to allow police inside the campus came after a general body meeting between the JNU Teachers Association (JNUTA) and the vice chancellor, in which the teachers put forward five demands.