Tamil Nadu Agricultural University

Please refer to the link provided below for a list of courses offered by Tamil Nadu Agricultural University. You should be able to navigate to a college of your choice using the filters on the web page. Additionally, download the college brochure for further details. Regards.
https://www.shiksha.com/

Yes, you can pursue B.Sc Agriculture but you should have completed class 12th with science stream. There is an ICAR (Indian Council of Agri Research) scholarship programme for toppers admitted to the degree.

You are eligible to seek admission in B.Sc Agriculture from TNAU, and you can proceed to fill the application form required for admission.
Eligibility Criteria for seeking admission in TNAU is as follows:
Candidates should have passed all the subjects in Academic stream of the Qualifying Examination

Sure, you will get. Admissions to TNAU has a separate admission window. Apply through that. TNEA 2018 is regular window for all the normal engineering courses affiliated to Anna university. But this one you have to apply separately. You still have time.