Hi there. 

Your B.Sc subjects would hardly matter if you had Physics, Chemistry and Biology in Class XI and XII. 

To be eligible to write NEET one has to be atleast 17 years of age with 50% aggregate marks (for UR category) in Class XII boards examination with Physics, Chemistry and Biology as subjects. 

And yes, with those subjects mentioned in your question, you'll be eligible to apply for NEET 2019.

Your qualification code will be 5 if you are in 1st year of B.Sc and it will be 6 if you have graduated with your B.Sc degree. 

For more information kindly refer to the link below: 

https://www.google.co.in/amp/s/medicine.careers360.com/articles/neet-eligibility-criteria/amp

Hope this helps.