BBA

I suggest, if you are getting opportunity to work after BBA course then go for it. Continue learning at the workplace. This will keep you apart from others in MBA students. Then, go for good MBA colleges.This will widen your scope in career prospects.

I suggest if you crave for science, go for engineering exams.
All the best.

NDIM will be a better option in terms of placement.

Jindal Global Business School is good for pursuing BBA.
Eligibility-
Candidate must have passed 10+2 examination securing 60% marksMust have a valid score in National/International level test SAT/UGAT/JAT (Jindal Admission Test)
Admission Procedure-
Admissions are based on the score in National/International level test SAT/UGAT/JAT (Jindal Admission Test).
https://www.shiksha.com/bba/course/bachelor-business-administration-jindal-global-business-school-sonepat-jgbs/250694

Yes, it is useful.
If it is selected on basis of your interest, it is good.
There are many jobs available for a degree holder.
BBA will be helpful if you'd like to pursue MBA in future.

Both are good courses. It would depend on your interest area. A B.Sc in genetics will give you specific career path in research/pharma/Science where as a BBA is a generic degree which will give you a career option in general management/sales/CS/operations.

B.com would be better for you to choose if you have interest in Maths. B.com will help you more in career development and also be good for MBA. BBA does not have Maths. There is a very little part of Maths involved. Through B.com, you can choose your career in finance stream.

B.Com is better than BBA.

Courses do not give results and jobs automatically. You select a course you like and then plan out. The world is not meant for one subject. Do what you like, first. But, do it well.