Doctor

You can complete your B.Sc in biology or you can join B.Sc. Nursing so that in future you may get chance in doctor field. You don't lose your confidence. You may get a chance to go in the doctor field.

Yes, you are eligible to study the respective course, if you have achieved a good rank based on your caste specifications. You can make use of Shiksha rank predictor, to predict your approximate rank.

If you have earned your certificate and if it recognisable in other countries, then that should not be a problem. But it is good to be on the safer side by checking with the professionals.

You can go for biotechnology or else pharma. Like to study bio is different than to have passion in reading so try to figure whether out you like to study for knowledge or just like that. Try to know more about biotechnology courses as it includes a bit of chemistry. You can go for research also specializing bio. Figure out that in biology which particular thing you like to know more like DNA, evolution, research part etc. Hope this would help you a bit.

According to you, she is preparing for NEET, then she can definitely opt other courses such as B.Sc in different fields of biology, or it depends on her area of interests. So, in case of failure, don't put burden on her regarding choice of career.

Dear Jay,
Ph.D in mathematics is a good option. However, for that, first, you must have cleared your PG in Mathematics. After that depending upon the norms, you can go for Ph.D in Mathematics. It is really a good option as it will enable and open up your research skills in Mathematics.
I hope this helps. All the best.
God bless you.