The weather models as of now don’t suggest any major Western Disturbance in the next 10 – 15 days. Also, temperatures at some places can drop below the freezing point, however, that is quite common for the season.
So, schools should not be closed anytime soon as it will only impact the education of students.
Although, closing of schools in upper reaches should be considered as temperatures can drop below – 3°C there which will be harsh for students as many schools lack heating facilities.
Regards: Kashmir Weather