M.Sc Chemistry

Delhi University, AMU, BHU, etc. are some of the best colleges for M.Sc in chemistry.
Good luck!

B.Pharma and M.Pharma will be better as the pharmaceutical industry is growing so fast.

Hopefully, this will help you:
https://www.shiksha.com/b-tech/resources/jee-mains-college-predictor

Both have scope and graduate from any discipline can apply for the government jobs.

There are many universities offering M.Sc in Chemistry through Distance. Just google or check on Shiksha's web site for the same.

After doing your B.Sc medical, I think MBA in health care management can be a better option.
Organic chemistry M.Sc. takes you to research based higher studies or jobs for that matter and MBA in healthcare management is a trending occupation whereas multi speciality hospital chains need people with good skills.