M.A

Hello Mallika,
It's good to think of linguistics after MA. There are lots of top notch Institutions offering MPhil or PhD programmes. I am giving you a link that will give answers to all your queries.
https://googleweblight.com/i?u=https://www.shiksha.com/humanities-social-sciences/linguistics/colleges/colleges-india&grqid=iYAgki0V&hl=en-IN

Please refer to the following link:
https://www.shiksha.com/mass-communication-media/colleges/m-a-colleges-india?uaf[]=location&ts=2683514&rf=filters&ct[]=64&ct[]=10223&ct[]=702&bc[]=82

A Master's degree is mostly allowed in a subject you have studied in your Bachelor's degree. I am sure you had history and now want to do MA in the same. BA general means BA of course.

Answer to Your Question is MA ENGLISH. But, if you do not do MA English with proper learning as this degree demands, it's a waste. History will not get a job for sure just after completion. M.A. English opens many unconventional jobs like content, writing, training, etc.

You can. Do you want it in regular mode or distance? But, you have to complete the criteria of studying English for Three Years in Graduation. Most of the universities demand giving additional exam for graduation in English for 2 years. Check with IGNOU as they might not be having the above rule.

There are some universities that have this name for post-graduation in journalism and mass communication. However, the old and most accepted title is MA in India. Some have introduced M.Sc. which is not everywhere acceptable. Mass communication is not a science stream subject, it's in social science. Go for MA. Both are equivalent. Check whether your planned place has M.Sc approved from UGC or not.