If u want to go to ASR, why are u going through such a complex route plan??? Pick a train upto JRC and change there for ASR, will take max 2 hrs from JRC. Total 6 hrs travel. Further many overnite sleeper/ac buses are available from Jammu/Katra to Amritsar. There are 2 direct daily trains as well from Jat to ASR take 5 hrs.