Those familiar with the Indian Railways would know that the northern-most station is Sopore (lat 34.26 N). It is just ahead of the terminus at Baramula (34.22).
It is uncertain if any further railway lines in this area will be built in the next few years. One plan included a connection to Kupwara (34.53) which should be the northern-most station in India if the line is built.
Meanwhile, the northern-most station which is connected to the rest of IR’s network is SMVD Katra at 32.98
The title of the northern-most junction is a tie between Pathankot and Bharoli which are at 32.27. This is a tie when latitudes are measured to 2 decimal places.
The northern-most airport with regular commercial flights is Leh (34.14) which is just ahead of Srinagar (33.99)
The northern-most airport with regular military transport flights is Daulat Beg Oldi (35.39) It is said to be 8 km south of the border with China. See https://en.wikipedia.org/wiki/Daulat_Beg_Oldi
There may be helicopter landing grounds in the Siachen Glacier at still higher latitudes.