Engineering Entrance Exam

Yes, you can easily get a seat with this rank in NIT.

Sorry but unless you are from some reserved class, you won't get into any of the NITs or IIITs.

You can apply but not on the basis of JEE Mains score. A score of 20 is not acceptable. Minimum acceptable score for ST category students is 27. Apply to the colleges which are having their own entrance exams.

Hello Vishal,
Please follow this link for rank by your marks and category:
https://www.shiksha.com/b-tech/resources/jee-advanced-rank-predictor
After getting a rank, check the closing rank by JOSAA for all the colleges:
http://josaa.nic.in/Result2016/result/OpeningClosingRank.aspx
All the best.

Yes, you will get admission.

Yes, chances are there as 32 is the par score for SC category students in JEE Mains. You have got 58 marks. Do attend counseling at all the NIT's.

That's not certain unless you have home state quota and category to work with. But with the marks, you scored you can have a try because cut-off varies at a larger extent year to year. I guess that if categories are applicable, you would be having good chance to get into MANIT. Yeah, but don't miss

Sorry to say but with these marks, you can't get any govt. college until and unless you belong to SC/ST category but the chances are slim for them as well.
Best of luck!

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.