B.A History

Yes, as both courses complements each other. Amity may not be a good institute for this instead you should prefer well reputed colleges like Deccan College. Following is the eligibility criteria
Eligibility for Admission
B.A. degree, with Ancient Indian History, Culture and / or Archaeology / History / Sanskrit / Prakrit / Pali / Anthropology / Geography / Fine Arts / Architecture with a minimum of 55% marks or B+ or equivalent grade of a recognized University.B.Sc. degree, with Anthropology / Geography / Geology / Botany / Physics / Chemistry as a major subject with a minimum of 55% marks or B+ or equivalent grade of a recognized University.

Career Opportunities after BA History:
Career options for students who have finished their graduation in history are quite high. They can go for advanced studies or get jobs. Those who would like to pursue their studies can go for Master's degree in the same field. Students can also appear for the UPSC or the state wide PSC tests. They can also appear for the SSC tests. Those who like the teaching profession can get the B.Ed (after BA) or M.Ed (after MA) degree and apply for teacher or lecturer positions. Many other job options are available too. A few include:
Archivists
Information Managers
Librarians
Politician
Public Relations officer
Records Managers
They can even appear for Bank tests and get jobs as Probationary Officers or Clerks, or work with news papers or magazines. Students of history with a professional degree in journalism can get jobs with magazines like Business India, Outlook and National Geographic Magazine etc.

The answer depends on individual's interest and other factors like, your field of graduation and your career prospects. As you have prior experience of history and social sciences, I think you should try for MBA-HR in TISS as it is known for HR.
Other major disciplines in MBA, you can look for are as follows:
1. Operations: It needs analytical knowledge with fair hands on mathematics.
2. Finance: It needs basic knowledge of accounting and share, equity and credit-debit transactions.
3. Marketing: It deals with promotion and advertising strategy to convince the target customers for your product.
4. HR: It requires good communication skills to deal with your team. You need to get the best out of your team and keep them motivated.
5. Mass communication: If you are interested in media and mass communication, have good speaking skills, then you can look for this discipline.