Exam

1. ITS
2. FIBS
3. VIPS
4. Amity University
5. IMS.

NIT Warangal is one of the old and top NIT. You belong to OBC category. So, you have to score above 180 in JEE Mains. It depends on the rank.

Last week of December or in January.

You may get MIT Pune.Or DYPatil Pune. If possible you can go through cut of list of various top rank colleges in Pune & Verify for 2017 cut of branch wise ,round wise also.Give your choice accordingly while feeling admission form for cap round.You might have a chance if you have any reservation crit

Yes, you can appear but you have to work hard to clear this time anyhow and believe yourself. You will definitely go for Advanced.

For the candidates to qualify for the admission in the IITs/NITs/IIITs and such other CFTIs whose admissions are based on the JEE (Advanced)/JEE(Main) ranks, they should have secured at least 75% marks in the 12th class examination, or be in the top 20 percentile in the 12th class examination conduc

I think is difficult. Give it a try maybe u get it.
There is a chance of getting admissions there. Try your best until last round of counselling session. Good luck for your admissions.
You might have a chance if you have any reservation criteria else give it a try.You have very great chance to get int