USA

Yes, if it is a good university in US you should go for it. These are the best hotel management and hospitality schools, please check the link below:
http://www.thebestschools.org/rankings/best-hospitality-degree-programs/

Opt for PGDM in USA or Canada. You need to score good marks in GMAT and TOEFL to pursue PGDM in the good universities of the USA or Canada. If you put some hard work in your studies, you can qualify CAT exam and get admission in IIMs which is also a good option.

First of all, you should maintain over 3.0 GPA out of 4 GPA ( American standard) in your Bachelor's degree which means over at least 70 percent marks. You should appear for GRE and TOEFL exam, and crack both the exams with good marks.

Since, it's a management degree, you will be recruited by pharma or health sector mainly. You may specialize in other fields like data analysis to work in research. While pure pharmacy degree in STEM, management is not exactly a part of it.

As per the world ranking USA is the best and here are the schools:
1. University of Chicago - Booth School of Business
2. University of Virginia - Darden School of Business
3. Dartmouth College - Tuck School of Business
4. Harvard Business School
5. University of California at Berkeley - Haas School of Business

IELTS or TOEFL both are considered equally by most of the colleges. What you need to see is in which pattern you can score better so take a look at their details or take a mock test and see what suits you best.

Your scores are less and it will create problem while getting visa.

Yes, you can pursue MBA after writing GMAT, TOEFL or IELTS.