Soura is becoming the epicentre of resistance to the Indian government's plans to remove the partial autonomy that was enjoyed by Jammu and Kashmir.
Parents say their children will stay home until cellular networks are restored and the situation returns to normal.
Paramilitary forces have been ordered to apply minimum force and maximum compassion to allow locals to go about their Friday prayers in Srinagar.
Indian police insist that Kashmir, which Pakistan also claims, has been mainly peaceful since a curfew was imposed.
In the past two years, journalists in the scenic Himalayan valley have been threatened by militants, blinded by pellet guns fired by security forces, and murdered by unknown assailants.
Pertempuran berlaku di kawasan hutan Yarwan di Keller, daerah Shopian kira-kira 65 kilometer di selatan Srinagar.
Kesemua militan yang terbunuh dikenal pasti sebagai penduduk tempatan Kashmir.
The child's decomposed body was found on Tuesday hidden behind bushes about a kilometre from her home in the Baramulla district of Indian-administered Kashmir, police said.
Disgust over the horrific crime led to protests in cities across India over the past few days.
A civilian has also been killed and four soldiers injured in the region divided between India and Pakistan but claimed in full by both.
Government forces in riot gear erected barricades in the main city, Srinagar, and other towns in southern Kashmir to prevent people from reaching the commander's funeral.