IIT

There is a big differnce between NIT AND IIT. its like comparing rolls royce with mercedes. although both are govt colleges. its not that all IIT are good. even nit' are also good. even nit patna is much better than IIT patna. so there is a differnce but it will nit effect Your quality of education. they both are equally best colleges.
best of luck

Yes it is . As it is exclusively for space Science and technology

yes
IIT Kanpur, roorkee, kharagpur,madras offers aeronautical and aerospace engineering

If you have not got job in campus placement after completing your B.Tech CSE you will face challenges in getting appropriate job directly. Therefore, M.Tech in CSE in IITs is an excellent option. MS abroad is an expensive option, therefore, you may do ROI analysis before taking a decision.

Why private college.?
U can get nit easily
Go for counselin

Try for core branches at old iits
Iit kanpur kharagpur bombay roorkee madras are best

Aerospace engineering is the primary field of engineering which deals with the engineering aspects of aircraft and spacecraft. It is divided into two major and overlapping branches: aeronautical engineering and astronautical engineering. AE graduates have job opportunities in DRDO, ISRO, HAL and other aeronautical manufacturing companies and it's ancillaries, Airlines in Maintenance engineer roles, Indian Air Force, IT companies with Engineering vertical, acedmics etc. AE graduates also have job opportunities abroad.