Colleges in Bangalore

Nlsiu does provide international law. but as you have completed 12th you have to first pursue llb where the subject will be introduced to you then you can do llm in it. Criminal law is a different branch but there are some conventions that deal with non-conventional crimes that may happen at int. level. but still, domestic law can only give relief in the true sense. you will get clear picture of this once you complete your llb.

You need 50% marks in your 12th and then score top 50 rank in the CLAT exam to get admission in nlsiu.

To pursue MA Sociology, the basic eligibility is to have graduation in any stream. Many reputed universities require graduation degree in sociology with honors or as sociology one of the subjects in their graduation. Universities also demand a minimum of 50-55% marks in graduation to offer admissions in MA sociology.

There is no cutoff rank. Chances of getting a seat depends upon the branch you are going for and a number of seats are empty in it.

You need to check this out on site of comedk . but there are very few college which would be offering lateral entry admisssions to non karnataka students.

You can, if you are eligible.
Eligibility is :
1. Must have passed class 12th
2. Discontinued in the 1st or 2nd ( passed ) year of graduation degree conducted by a recognized university.

Yes, you have to go to the examination here, as you have to manage the exam accordingly.