LLM

Three/Five Year LLB degree from University of Delhi or any other recognized University with 50% aggregate marks or equivalent grade.

Please see the details: https://www.shiksha.com/law/articles/jamia-s-law-entrance-for-llb-llm-admissions-blogId-6181

Check for details: https://www.shiksha.com/college/school-of-distance-education-andhra-university-visakhapatnam-23289

Please see details: https://www.shiksha.com/law/course/ll-m-mahatma-jyoti-rao-phoole-university-jaipur-251226

No, you cannot pursue this course through distance.

You can check all the required details here:
https://www.shiksha.com/law/course/ll-m-department-of-law-kurukshetra-university-285274

It depends on your age, kindly check the eligibility criteria.

You need to apply for CLAT exam or entrance exam for other universities having their own entrance exam and interview for the admission process.
You can check this link for top law colleges and their admission process:
https://www.shiksha.com/law/ranking/top-law-colleges-in-india/56-2-0-0-0
And, for LLM programme when you are in the final year of LLB degree, you can apply and again you have to apply for CLAT or entrance exam for different universities.