Hello,
The NITs you mentioned are part of the institutes of national importance in India. As you may know, NIT Nagaland and NIT Meghalaya have been established in 2010, I would rate these NITs a bit lower than the other two NITs due to their lack of infrastructure and established alumni network. They are in their infant stages only, thus I would take them out of the discussion.
Now comes the other two NITs Agartala and Srinagar, while Srinagar was earlier an RIT and thus always was a premier institute of India. Agartala is also a fairly old institute established in the 50s and 60s. They have a very established campus and alumni network. NIT Agartala has many new investments in infrastructure which I have heard is getting is not renovated in NIT Srinagar. Another important thing is the location, the city Srinagar. While it is generally safe inside the NIT campus but the news of constant fights and disturbances are common. The unsafe city environment might also ruin your stay and experience as well as your placements.
Thus I would suggest you choose NIT Agartala above other mentioned options. Feel free to ask about NIT-A to me as I am myself part of this college.
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