M.A

Yes, you can pursue B.Ed and M.A. together in the same year but one should be in regular mode and other in distance mode. Pursuing both B.Ed and M.A. Together will help you in saving time as in two years you will be having a post-graduate degree and also have the most coveted teaching degree B.

You can check out the following for more information - https://www.shiksha.com/university/davv-devi-ahilya-vishwavidyalaya-indore-51562.

You can check the following to know about your query-https://www.shiksha.com/humanities-social-sciences/psychology/colleges/m-a-colleges-india.

You can refer to the link given below-
https://www.shiksha.com/university/tiss-tata-institute-of-social-sciences-Mumbai-24451

Tap the link below~
https://www.shiksha.com/university/uoh-university-of-hyderabad-23069

Tap the link below~
https://www.shiksha.com/university/patna-university-25175/course-m-a-in-women-studies-272243

You can check out the following for more information - https://www.shiksha.com/university/university-of-Mumbai-856/admission.

Yes, you can do it.
Admission to some of the courses such as BSc, MA, LLB, BA LLB, and many other courses is based on the score in the entrance exam conducted by CSJM University.
To secure admission in the MA programme, candidates need to obtain a BA degree (three-year course) from this University or an Indian University recognized for the purpose by the Executive Council.