Science

You have to fill the programme you wish to apply for after checking the eligibility, there might be some deductions in marks for changing the stream when calculating the best four. So you fill the BA programme in online application and at the time of counselling yours marks will be calculated after deducting.

If you want to pursue it, good but I would suggest you to go for some good and easy choice such as BBA, BA, etc.
It would be more beneficial for you.

Genetics is theoretical part and applied genetics is practical. Genetic engineering which employees gene therapy to manipulate genetics structure for desired gene insertion or removal comes under applied genetics. It's like using genetics in industry to benefit from it. Genetics as a subject will teach about the genome, eugenetics, transcription translation and the application part while applied genetics teaches how to make use of the knowledge that genetic studies have given.

B.Sc biotech makes you eligible at number of places for higher studies or for job in biotech industries. BPT specifically limits you to this field and it requires whole of patience as the job is quite demanding , but if you are passionate about it then there is nothing that can stop you. Both private and govt hospitals have not requirement and private sessions are also in demand , this specifically requires one to be compassionate towards others. See if you fit the bill.

Try for:
Deen Dayal upadhyaya
Acharya Narendra Dev
Netaji Subhash Institute of Technology

It will not affect much as at most of the places theses are equivalent sparring those which require honours only. If you are interested in botany only then consider going for M.Sc in botany.

After B.Sc most sought after course is M.Sc in microbiology for good career prospects. You can search for jobs as microbiologist in healthcare, food industries after B.Sc. You can also apply at places which requires a basic science degree. For more option govt jobs such SSC, banking, etc. are also there.

The university is good.
Check out their cut offs and admission details if you are seeking admission there.
All the best.

https://www.shiksha.com/science/colleges/m-sc-microbiology-colleges-india
The above link provided M.Sc in microbiology colleges
For B.Sc in microbiology, follow this:
https://www.shiksha.com/science/colleges/microbiology-colleges-india