Science

Please refer to the link below:
http://www.tifr.res.in/~dbs/students/msc_faq.html.

Please refer to the link below for admission details:
http://kins.kiit.ac.in/admission.html.

This is a very vague question and there are thousand of institutes in India. I would suggest, you find out the institutes you wish to take admission in and then ask questions related to their admission details.

You will have to take this information from the college itself, as the college doesn't disclose the vacant seat information.

Yes, you can pursue a distance course. Please refer to the list of colleges below:
https://goo.gl/A7r2UV

Please refer to the eligibility criteria in the link provided below, if you abide by the same then you can appear for the entrance exam:
https://www.shiksha.com/science/course/m-sc-in-life-sciences-jawaharlal-nehru-university-mehrauli-delhi-88698

If you haven't registered for the same, there is no scope of changing the course afterward.

Those are post graduate programmes
when you perform really well in your undergraduate programme you will automatically get the scholarship.

Can you please elaborate what is NCIPR so that I can guide you better?