MTech is all about research and being in Nit Hamirpur is a great experience.

You have good options for PHD in reputed colleges like IIT, IISC etc. You will get preference being an student of NIT. if you have good relation with your guide then you will get More chances of admission in NIT Hamirpur Itself.

You will easily get teaching job(campus placement) in colleges like TMU,LPU,CU etc With average package of 30k to 45k per month.

There is no problem with doing your masters at the age of 27 and that too in a NIT. This will definitely give your career a jump and you will get better opportunities ahead.

Hope this helps !