CBSE 12th

Yes, you can opt for maths honors course.

I suggest you do a course in arts management if you find one in India. But instead of event management you would benefit a lot from doing a graduate degree in business management first and then a specialised MBA in event management or logistics management.

WBNUJS is one of the most reputed law schools in the country and once you graduate you can target specific IPR law firms in India or abroad. If any of these firms comes for campus recruitment does target them aggressively, having done B.Sc LLB. It gives you a slight edge in understanding the scientific mechanisms and workings behind patents, copyrights, etc.

Yes, you can get admission in NITs.

You should secure more than 55% to be eligible for IPM.

If you want to make your career in arts or literature background then you can choose BA programme.

Students with commerce background and with 40% in 12th are eligible to apply for this course.

You can pursue B.Sc in maths only when you have science stream in 12th mainly mathematics and minimum of 50-60 % to be eligible for admission in programme. So now you will not be able to pursue as you have commerce in your 12th. Please choose different options for your career perspective.

No, you can't do it because you don't have science stream so I would like to suggest you go for CLAT. It will be different from the subjects or streams which you don't like.

You have to be sure in life as what you want to do. Explore new areas of commerce stream along with many options such as BBA, B.Com, CA and CS. You have another option to pursue a career in statistics as you have studied mathematics.