Masters

Dear Caamin,
Following are the best institutes offering hospital administration:
Indian School of Business Finance (ISBF)
Location: New Delhi, Delhi, India.
Loyola Institute of Business Administration
Location: Chennai, Tamil Nadu, India.
Symbiosis Centre for Information Technology, Pune
Location: Pune, Ma

There is no major difference between MBA and PGDM, but you should opt for MBA as it has better career scope and huge market demand.

If you have done B.Tech in CSE, EC, or electrical engineering, then you can do MBA in HR. It will beneficial for you. If you have done B.Tech in civil or mechanical, then marketing is the best option for you.

Yes, you can apply for winter intake in 2017. For that, you have to maintain your UG score (75%), and you need to score well in IELTS exam (6 band). Also, try to learn the German language. It will be an added advantage on your part.

Hello Dexter,
The best in India are all IIMs, FM'S Delhi, ISB Hyderabad, XLRI, etc. whereas abroad the list could be long as there are various countries. Here are the top 50, with fee and country.
http://m.businessinsider.in/the-50-best-business-schools-in-the-world/48-university-of-wisconsin-wiscons

I suggest that you to pursue Masters in Kinesiology rather than a Post Graduate Diploma program. University of Calgary, University of British Columbia, University of Waterloo, and University of Waterloo are some of the universities that offer Masters in Kinesology.