B.Sc Zoology

Hi Himanshu,
I don't see any reason why one should not be deemed eligible.
Please visit the official institute website at www.fms.edu to check further details and confirm the same.

There are over 88 B.Sc. . in Zoology colleges in India. Please refer to the link provided below for an exhaustive list of colleges which offers B.Sc. . in Zoology in India. You should be able to navigate to a college of your choice using the filters on the web page. Regards. Link:
https://www.shiksha.com/science/colleges/b-sc-zoology-colleges-india.

Yes, you are eligible for M.Sc biochemistry.

Yes, you can appear for NET exams after having done a course in MBA. Please check for basic eligibility criteria for the NET exam 2018 as mentioned at the link provided below:
https://www.shiksha.com/teaching-education/exams/ugc-net.

Yes, you can get the admission as you have 93%.

See, nothing is good or bad, it's all about your interest and the field in which you want to see yourself growing and working. If you want to do this after graduation degree then move ahead because if it is your forte, you will do your best and ultimately, best will come out of you and you will do a splendid job and get success.
All the best.