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With the e-commerce boom happening in India, a course of retail and supply chain management does have bright career prospects. In India institutes run separate courses on retail management, supply chain management and materials management. I am not sure if there is an Institute that runs a joint course on Retail and SCM.
The objective of a program on SCM is to impart skills required for a professional to optimize organization profitability through effective management of supply chain, developing fundamental understanding of the basic flow of material in the supply chain and learn the skills to leverage the advantage of proper supply chain.
Whereas, a program on retail management suits a Professional who would like to become retail professionals at supervisory levels .Here one gets exposure to various aspects of professional retailing.

Yes, but assuming you have had masters degree (not just bachelor degree). Here is the eligibility criteria (note that it does not depend on your institute of graduation).
a) A Masters Degree in any discipline, with at least 55 percent marks, with a Bachelors degree/ equivalent qualification with at-least 50 percent marks obtained after a minimum of three years of education after completing higher secondary schooling (10+2) or equivalent.
(OR)
b) Five year/four year Integrated Masters Degree programme in any discipline, with atleast 55 percent marks, obtained after completing higher secondary schooling (10+2) or equivalent
(OR)
c)A professional qualification like CA, ICWA, CS, with at least 55 percent marks.
(OR)
d) A 4-year/8-semester Bachelors degree with at least 60 percent marks or equivalent grade point average.
For more information:
http://www.iimahd.ernet.in/programmes/fpm/how-to-apply/eligibility-criteria.html