The incidents occurred just days ahead of the visit of Union Home Minister Amit Shah starting October 4.
They also demanded immediate release of their pending salaries in view of the 'Maha Shivratri' festival, being observed later this week.
A top Hizbul Mujahideen commander was killed in an encounter with security forces in Jammu and Kashmir's Kupwara district on Wednesday, police said.
The encounters took place in Pulwama, Ganderbal and Kupwara districts of the Kashmir valley, a police official said.
Terrorists have stepped up attacks in the Kashmir valley over the past week.
The incident took place in Tuksan Dhok village and the captured terrorists included the most wanted LeT commander Talib Hussain, a resident of Rajouri district and the mastermind of the recent IED blasts in the district, the officials said.
He said the search operation turned into an encounter after the hiding terrorists fired at the security forces.
Bharatiya Janata Party President Nitin Gadkari, who is on a five-day visit to China, on Monday condemned the Centre's attempt to stop his party's Ekta Yatra as "repressive" and warned that such an approach would lead to increase in terrorism in Jammu and Kashmir.
The Jammu and Kashmir police on Monday said they have arrested five 'hybrid' terrorists of the proscribed Lashkar-e-Tayiba outfit, three of whom were allegedly involved in the killing of a sarpanch in Baramulla district last month.
The junior Abdullah would be banking heavily on Shia support as the constituency has many Shia dominated areas that include Budgam, Beerwah, Pattan, Sonawari and Bandipora, among other pockets.
A cordon-and-search operation was launched at Rakhama village in the district in the morning following information about the presence of militants in the area, a police spokesperson said.
Security forces cordoned off the area and launched a search operation to track down the assailants but no arrests have been made so far, the officials said on Monday.
The Union home ministry has approved a proposal in this regard. Recruitment will be voluntary and the personnel will be trained for three months in jungle warfare, a police officer said.
The name of encounter specialist Sub Inspector Shiv Krishen, arrested for alleged terror links, figured in the list of recipients of gallantry awards given by Jammu and Kashmir Chief Minister Omar Abdullah.
While the operation to track down the terrorists in the forest belt of Poonch-Rajouri was underway, the security forces received information about the suspected movement of terrorists in the vast forest area of Khabla along the Mughal Road in the early hours of Saturday, the officials said.
Kumar, a resident of Bhagwan village in Hanumangarh, worked as a manger with Ellaqui Dehati Bank at Areh Mohanpora branch in the south Kashmir district.
The search operation turned into an encounter after the terrorists fired upon the security forces who retaliated, he said.
The attack took place in Pinglana area of the south Kashmir district.
The matter was deliberately hyped, Gupta added. The case is in court, which will decide on it, he said.
With terror groups misusing Aadhaar to camouflage the identity of their Pakistani cadres, the Jammu and Kashmir police will request the Unique Identification Authority of India (UIDAI) to strengthen safety features of the biometric ID, officials have said.
Three Jaish-e-Mohammed militants were killed in the Drach area of Shopian, while a Lashkar-e-Tayiba militant was killed in the Moolu area of the south Kashmir district, the police said.
Police in Jammu seized an ammunition consignment allegedly meant for terrorists dropped by a drone from Pakistan near the Jammu International Border (IB), officials said on Thursday.
Arvind Kumar Sah, a resident of the Banka area in Bihar and Saghir Ahmad, a carpenter from Uttar Pradesh were killed by terrorists in Srinagar and Pulwama, police officials said.
Political parties condemned the "dastardly" attack and said there can be no justification for targeting innocents.
The separatist Hurriyat Conference is finished in Jammu and Kashmir but attempts are being made to keep it alive from Pakistan, Director General of Police Dilbag Singh said on Monday, adding that the militancy in the region is "on crutches".
The gunfights, which broke out on Saturday night, took place in Pulwama and Budgam districts of the Kashmir valley.
The encounter took place at Qasbayar area of the south Kashmir district.
He said the case was cracked within three days with the arrest of a 'recycled' terrorist with five more improvised explosive devices in his possession, including three ready-to-use sticky bombs.
Three Lashkar-e-Tayiba (LeT) terrorists were killed in an encounter with security forces in Jammu and Kashmir's Budgam district on Wednesday, the police said.
The Rashtriya Rifles has embarked upon a project to impart basic vocational training to youths in Reasi district of Jammu and Kashmir to wean them away from terrorism, a defence spokesman said in Jammu on Wednesday.
The terrorists opened fire on a naka party of the Central Reserve Police Force at Wangam-Qaziabad in Kralgund area of the district, the officials said.
Lashkar-e-Taiba (LeT) terrorist Adil Parray, who was involved in the recent killings of two police personnel, was killed in a 'chance' encounter with a 'small team' of police in Srinagar on Sunday, taking the number of ultras killed in Jammu and Kashmir in the last 24 hours to five.
Several incriminating documents and electronic devices were seized, the NIA said in a statement. Those whose premises were searched include Falah-e-Aam Trust, Charity Alliance in Delhi, Human Welfare foundation, J-K Yateem Foundation, Salvation Movement and JK Voice of Victims.
External Affairs Minister Pranab Mukherjee made it clear that the joint initiative was aimed at covering terrorism everywhere and no area can be kept out of its ambit as terrorists do not respect any territorial borders.
'We have to fight, eliminate and eradicate terrorism from J&K. India is too big a country to want any assistance from anyone.'
Additional sessions judge Shailender Malik granted relief to Mohd Manan Dar in a case lodged under the stringent Unlawful Activities (Prevention) Act and the IPC.
Syed Ahmad Shakeel and Shahid Yousuf, who are sons of Hizbul Mujahideen chief and one of the most wanted terrorists, Salahuddin, were also dismissed from service for allegedly being involved in terror funding, the officials said.
The DGP, who has been monitoring the situation as well as the probe, said that in all likelihood, the unmanned aerial vehicles have flown in from across the border and returned after the operation.
One cop killed near the revered Chrar-e-Shareef shrine and another outside the residence of a Hurriyat leader, in the Kashmir Valley officials said.
Speaking to reporters on the sidelines of a function here, Inspector General of Police (IGP), Kashmir, Vijay Kumar said that none of the civilians killed last week had been provided security by the police.