Colleges in Karnataka

As far as I know, since this is a deemed university, it won't accept the NID score. It conducts its own test (PESSAT) and takes admission on that basis. For more info please visit the link bellow and go to the admission tab.
https://www.shiksha.com/design/industrial-product-design/course/b-des-in-product-design-pes-university-banashankari-bangalore-276971
Also visit the college website. Contact the college office for more info.
http://pes.edu/bdes/

No, NLSIU offers BA LLB only.

Hello,
This basically depends on your age. If you are 21 and above you can apply for corpBBA +MBA. This degree is valid in India as well as abroad. The only thing is you can't apply for government jobs in India.

Kindly go through the course structures, faculty and placement reports of each institute from their websites.

You need to score minimum 40 marks in JEE Mains.

I think you should opt for NUJS(regular) because when you opt for distance programme you miss out on many things including classrooms discussion, faculty, debating etc. In NUJS, MBL course has produced many good brains which later came up with many good startups. If you want to prepare any exams then you can opt NLSIU (distance) programme, otherwise, I would recommend NUJS (regular) programme.

No, the approved entrance tests are MAT, GMAT, GRE, CMAT, CAT, and XAT for admission.