Hii

All those who belong to the  state of J&K are ineligible of the 15% All India Quota and incase you wish to claim 15% AIQ then you need to fill a self declaration. But since you have completed your studies from CBSE and in HP then you as per the records do not belong to jammu and kashmir and so you are eligible for all india councelling. But incase you want to claim the J&K state quota, you are required to visit JKBOPEE Srinagar or Jammu (depending on the month you visit) and ask them to add you name in the list of medical student in the state. But in this case, you will loose your 15% quota claim across india.
I am providing you some contact details for JKBOPEE. I sugest that you once try to contact them and get all your doubts cleared. As far as i know, if you have a state sbject, then you can claim the quota in J&K but at the cost of giving up your 15% quota of AIQ seats. But yes ofcousre you will be able to get 85% state quota in HP if you have a domicile there.
Here is the contact details of JKBOPEE -
BOPEE Jammu: ( open from november to april)
Jammu and Kashmir board of professional examinations
4th Floor, south block
Bahu Plaza, Jammu
Phone - 0191 2470102 , 2479371
Email - jak.bopee@jk.gov.in
BOPEE Srinagar ( open from  May to October)
Jammu and Kashmir board of professional examinations
Baghat-i-Barzulla
Opposite J&K Bank, Srinagar
Phone - 0194 2433590, 2433760
Email - jak.bopee@jk.gov.in

Hope this helps
Incase of any mor query feel free to revert back.
Thanks!