IIIT

Yes, you can get it.

NIT trichy Uttarakhand is very superb for B.Tech in Electrical engineering and EEE

IITS are awarded to Advance top ranking students. NITs are awarded to Mains top ranking student. Getting IIT through Mains is not possible at all. And NITs are not possible at this rank too.

Yes, classes of IIIT Una are conducted at NIT Hamirpur and their own campus is being built, but will take time.

Hello, Kindly go to the website:
https://www.google.co.in/url?sa=t&source=web&rct=j&url=https://www.shiksha.com/b-tech/resources/jee-mains-college-predictor&ved=2ahUKEwihrdTd2-HcAhWWbisKHR1xDvUQFjAAegQIBxAB&usg=AOvVaw1N9BzFtyUCP4JU-2UQHQ0H.

I think IIIT-Kalyani will be the best college in the upcoming days. The first batch is scheduled to pass out in 2018. Heritage is a private cum autonomous college. Here placement is not so good. The average salary is 3.3 LPA. According to my opinion, choose IIIT-Kalyani. It's an Indian Institute of Information Technology and in Heritage, a few companies come to recruit the students. But in Kalyani, a good number of companies visit the campus and you already know that the closing and opening of IIIT-Kalyani is far better than Heritage.

Only 4 IITs offers B.Tech aerospace engineering degree:
1) IIT Kharagpur
2) IIT Kanpur
3) IIT Bombay
4) IIT Madras
5) IIST (under ISRO)
6) IISC (Only for M.Tech they offered aerospace engineering)
If you got any queries, ask questions in comment section.

No, it is not possible for you to get into NIT or IIIT. Even if you have reservation, it would be hard for you to get a seat.

See, if the branch is not a barrier, you should definitely go for IIT or IIIT, as it stands out on its own and you'll get a great exposure there. But if you are sure with your branch that's EC, then NIT-Silchar is a great college.

https://www.shiksha.com/engineering/colleges/b-tech-colleges-bangalore
link for college in Bangalore like BMS College of Engineering, Bangalore, Ramaiah Institute of Technology, Bangalore are some best college in Bangalore and for more information you may prefer above link.