A BSC in microbiology is useful for a career in medicine but not as pharmacology  physiology but if you are interested you may go ahead.

Msc in Anesthesia is a post graduate 2 years course.  Average fees for the course is 1-3 lakh depending upon the Institute offering. The basic eligibility criteria for admission is graduation completed from any recognized University with chemistry, Physics and biology or microbiology as main Subjects and a minimum of 45% aggregate score.