Random checking of vehicles and frisking of passengers was being done at several places.
According to an official order, classes from 9 to 12 in Jammu region will open from February 1 while the elementary classes in the region will start from February 8.
The police maintained that the trio was involved in militancy, and the evidence establishing their role would be shared with the families.
Deputy Director MeT Kashmir Mukhtar Ahmad said the night temperature in Srinagar dropped to minus 8.4 degrees Celsius on Thursday.
Waterbodies, including portions of the famed Dal Lake, remained frozen, forcing boatmen to break the ice.
According to the India Meteorological Department, the minimum temperature and the maximum temperature will be around zero to six degrees Celsius for Monday.
Many parts of the valley, including the summer capital, received fresh snowfall Saturday morning.
In view of the continued closure of Valley’s surface and air link with rest of the country, the houseboats and hotels have opened their properties for the stranded passengers.
Snow clearance operations began at the airport in the morning and the runway was made operational later in the afternoon, the officials said.
The eight people hailing from Rajasthan were going towards Jammu in two cars when they were caught in a mudslide near Panthiyal in Ramban district on Tuesday evening amid heavy rains.
Flight operations will resume only after the weather improves and the runway is totally cleared of the snow, officials added.
Over 250 passenger vehicles and dozens of trucks carrying essential commodities to Kashmir valley were also cleared before the traffic was again halted at around 8 pm on Monday
Operations will resume only after the weather improves, they added.
According to security forces, Ajaz Maqbool Ganai, Zubair Ahmad Lone and Athar Mushtaq Wani were killed in an encounter on December 31.
The weather Office here has said moderate to heavy snowfall, with isolated very heavy snowfall, was most likely to take place over two days.