Engineering Entrance Exam

I'll suggest you to opt for FIITJEE as this coaching institute has good faculty and also has the easiest way to teach students the most difficult questions.

For the first year students, the hostel is newly constructed and hence, the hostel is good. But from the second year onwards, the hostel is old and you can imagine that how the old hostels are.

IET, Lucknow is far better than the UPES Dehradun as UPES is a private college and IET, Lucknow is a government college. UPES stands nowhere in the national ranking but IET does.

The eligibility criteria for JEE Mains counselling is to just appear for the JEE Mains paper, whether you have qualified the exam or not.
You are eligible for the counselling, but yes, if you haven't secured 75% marks in the boards exams, then you are not eligible for admission in any of the colleges through Mains counselling.

If you are too good in your academics, try to get the rank below 10,000 for the best institution in ECE after class 12th. It will help you further.

You will get the best institution, because your rank is below 10,000. So chances are there to get good institution for your better future.

For getting admission in an engineering college, you have to apply for JEE exam. If your JEE Mains score is low, you can get a low NIT, but there are less chance for you to get a good NIT. Apart from this, you can get good government colleges in your area. To get admission in those there is a different counselling form for every state.

No, there is no chances of getting admission in any of the campus of the VIT. With this rank, you can get admission in AP campus only through the management quota.

No, you are not eligible for that, as this university doesn't even do that in the case of management quota also.

You have to secure under 7500 rank. Only then, you will be able to get the admission in the main campus with CSE branch.