Psychology

No entrance exam date is been shown here on the website. You better check at the official website of the university.

Yes, you can definitely pursue M.A. in psychology. Already having done MBA which gives scope for many opportunities, you need to have a better clarity as why you want to pursue a career in Psychology. Psychology is one of the interesting field to study and practice as a career.

Yes, Jain University offers M.Sc. Psychology is Integrated with British Association of Counselling & Psychotherapy, UK. The eligibility criteria is given below.
Eligibility : The minimum qualification required to apply is a bachelors degree in the respective discipline from a recognised university.

https://www.shiksha.com/humanities-social-sciences/psychology/colleges/b-a-colleges-india
Here is the college list for distance education available in B.A. Psychology.

The CRC or the placement cell of Amity Mumbai are always in search of good internships and placements for their students. The internship offered by Amity Mumbai is at great hospitals, rehab centres, under renowned psychologist/psychiatrists. I am not really sure of placement possibilities in Amity Mumbai for Psychology as there are very few places which take students after graduation. Even if they're there, they might pay you very less.