MBA/PGDM

Yes, you should go for MBA. To develop your communication skills in English, read English books or watch English movies or the best is to listen to English songs. These will increase your concentration as well as confidence.

Hi Akshay,
Click on the following link to get complete details about the course:http://www.gemsbschool.com/corporate-integrated-bba-mba.html. At the bottom left of the page, there is an e-brochure which has all the details of the course.

It all depends on your interest, past experience, past education stream.
Find below, this might help
IT/System: The kind of job you can expect, is IT management. Maintaining ERPs etc. Flexible life with moderate pay.
Finance: More number of hours required, handsome payout, stretched life, but yet exciting work.

Sorry, you cannot.

Health care is a very niche specialization, so you need to take care of the colleges you are applying in:
Few colleges that I can share are below:
Symboisis Institute of Health Science
ISB
Indian Institute of Health Science

Association of Indian Universities (AIU) in the nodal agency for granting academic equivalence to the degrees awarded by the accredited foreign universities / Institutions for purpose of admission to higher courses. AIU publishes name of the Institutions whose Two Year Full Time Postgraduate Diploma in Management has been equated with MBA Degree for purpose of admission to Higher Studies. Graduates of those institutes whose PGDM is equated equivalent to MBA by AIU will be able to apply for government jobs where eligibility criteria is MBA degree and or want to pursue hD or MPhil in foreign countries.