M.A

Not really sure if they have a centre for the exam. Would request you to contact the college officials for the same.
Link:http://www.fergusson.edu/.

Hi Sravz,
Yes, you are eligible to apply for MA in Communication in Madras Christian College. You need to have secured at least 50% marks in your graduation. The selection process is done with a written exam called Tamil Nadu Common Entrance Test (TANCET). It generally has 4 sections like any other entrance exam including Quantitative aptitude test, Reasoning ability test, English language test and General Knowledge.

If you are thinking of doing correspondence course then IGNOU is the best university for it because it's very highly reputed and in fact its worlds largest open university.
But a regular course is always a better option than a correspondence course.

Yes St. Joseph College offer the above-mentioned course.
Link: http://www.sjc.ac.in/courses.html.

Yes, you can pursue 2 degrees simultaneously. The University Grants Commission (UGC) has finally given the go-ahead to students to pursue two-degree courses simultaneously.