Exam

As per me, you can appear for BITSAT 2018. For more details, you can check their website.

You need to follow the NCERT books. They are the best textbooks for the preparation of entrance exams.

Do the hard work and follow NCERT for chemistry, RD SHARMA for Maths and HC Verma for Physics. From these books, you can get decent marks in JEE Mains.

You can take admission in NIOS and reappear for the class 12th exams. I am pretty sure that you will pass it from there.
I guess you can easily score more than 75%.

You must ask the college where you're applying. Email and ask them if it is mandatory for them. Even if they say IELTS is not important to them, the visa issuing Embassy might still require you to write IELTS.

You have good chances to get GDPI call from IIMs, definately from new IIMs.

Yes, you have two chances for JEE Advance and three chances for Mains. So you can appear in 2019 Advance exam. But there is one condition on the basis of your 12th board marks, i.e. you should have at least 65% marks (for SC and ST) in 12th boards or be in top twenty percentile of your board.

Refer the following link:
https://www.google.co.in/url?sa=t&source=web&rct=j&url=https://www.shiksha.com/hospitality-travel/hotel-hospitality-management/exams/iihm-echat/syllabus&ved=0ahUKEwi9r-_TgOvVAhUFOY8KHRSoA9YQFggkMAA&usg=AFQjCNHi70b-glmagZiuQcMJgZ684mgHbw

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