M.A

If you go for MA, you can work in a college as a lecturer while you can work as a teacher up to school level if you pursue B.Ed. The choice is now up to you.

Dear,
Yes, Azim Premji University is having a good name in terms of quality education, study methodology, practical exposure in rural areas under the guidance of experience faculties and placement.
All the best!

You don't need to study abroad just because you want to study international relations. You should better pursue it here from a good university or institute where you can read it at a less fee with good quality education. Even after studying in India, there are many students that are placed abroad.

Many colleges & university are offering this courses and the eligibility criteria for this course is just a graduation degree. No entrance test is required in maximum cases.

Yes, it is acceptable.

Hi,
Kindly, refer to the link:
https://goo.gl/buKAin
You can search the colleges as per location and course.

Dear
Please specify why you want to pursue English literature programme.
If you want to shift your domain, kindly specify your short introduction and interest area. I would then suggest you few options.
All the best.

You need to score a minimum 50% marks in graduation. However, every candidate will have to take an entrance exam like CAT, CMAT or MAT, irrespective of his graduation or PG.

Yes, you can do that.