M.A

You can apply directly from the website of the university you want to join. Delhi University also has vacancies now. You can check their website as well.

Which college do you want to know about?

Yes, you can do B. Ed after doing MA in distance, but it will decrease your knowledge as the regular study is always better than distance.

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