JEE

I think that your scores do not depend on a coaching institution and so is your preparation. Every coaching is equal but Gravity Coaching Institute is the best.

I think she should take a year drop and try next year. Sorry, but she will not get a very good college/university at this rank. Average private colleges will be always available for her. She may get central universities like HNBGU (UTTARAKHAND), NEHU (Shillong), CUH (Haryana). HNBGU has girls quota

Yes.
Management quota gives you a way of taking admission without appearing for the admission test. But you have to shell out much more this way. And prefer the KKT campus (main campus) if you are serious about taking admission there.

I'd like to tell you that you must be able to score 75% marks in +2 as a min. eligibility in order to appear for JEE Mains. JEE Mains consists of two papers- paper-1 (For B.Tech admission in NITs, GFTIs, also need to qualify JEE Mains to appear for JEE Advanced) paper-2 ( or B.Arch admission in NITs

You should go for B.Sc because you are not eligible for JEE Mains.

Yes, sure you may apply. JEE is valid in all India.

Hello,
UPES takes their own entrance test called UPESEAT and approximately 80% seat are filled by the students who appeared in this exam and rest 20% are filled on 12th marks and JEE any your rank is low so admission is quite tough.

Yes, you will get admission.

Hello Gopinayak,
A candidate can attempt JEE Advanced a maximum of two times and that too in consecutive years. Candidates, who had appeared for JEE Advanced in 2016 are also eligible to appear for JEE Advanced 2017.
So you are not eligible to write it again.
All the best!

To get into IIT Kharagpur, you need to score a rank of at least 9-10k. However, if you get ranks below 2-3k, your branch won't be under your control, because there are different closing ranks for different branches.