Engineering

Yes,
You can get the admission in Techno India University as the eligibility criteria says that the student needs to have passed 12th class with an aggregate of minimum 60% marks.

In which stream did you get 15035 rank either medicine or engineering?

Use the rank predictor tool to know the approximate rank. https://www.shiksha.com/b-tech/resources/jee-advanced-rank-predictor.

You can use the college predictor tool to know in which colleges you can get admission as it's not possible for you to get admission in government colleges.
https://www.shiksha.com/b-tech/resources/ap-eamcet-college-predictor

You can use the college predictor tool to know that, the list is sorted with top colleges appearing first. https://www.shiksha.com/b-tech/resources/jee-mains-college-predictor.

Yes, you are able to get admission in M.Sc microbiology. Come to the fee structure so you can go to the Delhi University. The fee should be affordable by you or any middle class family. Some DU college which provides this course in very low fee are Indian Agriculture Research Institute (IARI), DPG degree college (DPGDC), Maharshi Dayanand University, Noida International University (NIU).

Hello Darshan, Admissions to any NIT or IIIT is co-ordinated by JoSAA. Have you registered on their web page for admission? To help you I am attaching a link that will predict college for you. https://www.shiksha.com/b-tech/resources/jee-mains-college-predictor
Best wishes to you and your family.

Hello Niveditha, I must say that you have obtained a very good ranking in KCET. With this, you should get admission in your desired college. However, to help you I am attaching a link that will predict college for you based on your performance in KCET. https://www.shiksha.com/b-tech/resources/kcet-college-predictor
Best wishes to you.