IIT

Of course, Amrita is quite a good one but IIT's were considered as the institutes of national importance.
Also, reputation and opportunities were high in IIT's
so it's completely your decision as per your interest and situation.

No, but if you are interested in IIT's then go for it.
Don't consider one year as waste it doesn't matter before your career.
If you get selected, you will have a bright future.

This is confidential placements information, which is not allowed to be shared.

I cannot comment about SPA or IITs, but NIT admissions are solely based on your JEE Mains paper. Only your AIR in Mains are considered not of JEE advanced.
PS: I am assuming that the Paper 2 specified in your question implies JEE advanced paper 2.

NIRF rankings says it all.
By the way, In NITs Trichy, Warangal, Surathkal, Rourkela, Durgapur (only mechanical), Allahabad (except Civil) are considered one of the best.
In IITs, Kanpur, Madras and Guwahati are best for research purpose study. Placements are good in all of top 8.

It is Shikhar. I have studied there and I am in IIT-Bombay pursuing B.Tech in CSE. It is small place with limited students. Kurmi Sir is one of the best teachers that I have met in my life. He can even guide you personally anytime anywhere. More than 85 students were selected in Advance 2017 out of less than 150 students.
There is no doubt that it is best coaching for IIT in Gwalior and nearby places.
For further inquiry, you can visit their website. http://www.shikharclasses.in/.

As per your %ile, you would clear the cut-off as per last year trends, and then it depends on your GD/PI.

JAM is for M.Sc. You can take JAM, only after graduation. For integrated B.Sc, you will have to appear for JEE.

Hi Mohanan, I can inform you that the fees structure for BITS, Pilani is around 2 Lacs per semester.
For detailed information, you can visit:http://www.bitsadmission.com/fdmain.aspx
Thanks.

Your call for GD/PI seems fair. As far as placements records are concerned, we do not have exact figures to share. However, the placement for 2017 batch was pretty good and better than the previous years. Highest and lowest packages were better this year than previous. All the best.