Law

You can do that.
There is no hard and fast rule as to why you can't pursue law after having done liberal arts.
All the best.

Take an exam in judiciary.
Join a firm or you might even start practicing.
Joining a PSU is also a great option.
You can explore any field of law and there's a plethora of chances everywhere.
Good luck.

Go for LLM because there's no point in investing another five years doing BBA LLB, once you're already done with BA LLB.

Learning how to find security vulnerabilities in IT systems is cyber security. Cyber law is nor technology but legal aspect of it. If you want to learn cyber security you can enroll for any of the training programs by http://pune.cssrl.in. The training is possible in regular classroom or in online mode. The career options in the field of cyber security are growing a lot these days.

Yes, there are so many distance learning programmes which are offered by IGNOU and VMOU. As per your course curriculum and interest, you can go for it.

So the admission in NMIMS basically depends upon your CLAT rank and the highest cutoff till date has gone till 4500 rank. The ranks are subjective to each year's CLAT exam.

Kindly check: https://www.shiksha.com/law/articles/top-colleges-accepting-clat-2017-scores-for-admissions-blogId-12502

Please see: http://www.vips.edu/eligibility_criteria.php

What is your preferred location for law? Kindly mention your 12th and LSAT score as well.