India and Pakistan both dispute ownership of the Kashmir Valley, and political violence can flare up without warning. Because of ongoing security problems, many foreign governments advise against all travel, or all but essential travel, to areas outside of the cities of Srinagar and Jammu, and your travel insurance may be invalid if you ignore this advice.
For increased personal safety you could sign up for a guided trek with India Hikes:
The top question on everyone’s mind is whether they … do the Kashmir Great Lakes trek (KGL) or the Tarsar Marsar trek. …