Engineering

At this rank, your son can easily get any branch in any NIT you want your son be in, he has got a very good rank and at this rank, he can also grab NIT Trichy easily.

No. ME is not offered through distance by any University in India. You can do part time or evening classes at best. Amity certainly does not offer any engineering programme through distance education.

IIT Mumbai will top this list. IIT Mumbai has the best faculty and infrastructure in my opinion. Kharagpur and Delhi are also good. http://www.bio.iitb.ac.in.

You can apply for the it your 12th standard. You will need following things
1) You have to take SAT and TOEFL exam.
2) Highschool transcript
3) Recommendation letter from counselor and teachers
4) Extracurricular activities.

Hi Abhishek,
Kindly check the details from here. You can even check the counseling related information from the link below. https://www.shiksha.com/b-tech/exams/dcet/results.

Admission is through counseling based on the rank obtained in Indian Maritime University Common Entrance Test (IMU-CET). Eligibility Criteria-
Age
Minimum 17 years | Maximum 25 years
Other eligibility criteria
Candidate must have secured minimum 50% marks in English.

No, at this rank, you can't get any of the government college as the closing rank of the government colleges is 15k itself.

See, if you don't have any branch preference, then you can easily get any of the government colleges but if you have the branch preference, then in the top colleges you might not get the admission.

You can get CIPET Lucknow at this rank in the Lucknow region that have good placements and fame.

It should be less than 500 rank. Only then, you would be able to get the CS branch in the IET Lucknow.