AP EAMCET

Make use of Shiksha's TS EAMCET college predictor:
https://www.shiksha.com/b-tech/resources/ts-eamcet-college-predictor

You might have a good chance to get into RVR. Give it a try. Also, for better analysis make use of Shiksha College Predictor.

No, the rank will not be given even if you pass class 12th. You need to give the exam again to achieve your desired rank.

There are many other engineering entrance exams, you need to prepare for those exams and try to crack them to pursue engineering in private colleges like SRM, GITAM, etc.

The chances of a non local getting a seat are less, but you may even attempt TS EAMCET for better chances for getting into CBIT. You need to get a good rank to ensure a free seat.

For admission to Sri Venkateswara Veterinary University SVVU Tirupati, candidate should have passed HSC (10+2 pattern) with Mathematics, Physics and Chemistry as the compulsory subjects conducted by State board of Andhra Pradesh/Telangana/ any other examination recognised as equivalent thereto by the recognised and valid Board. The marks obtained by the candidate in the qualifying exam must not recede below 45% (40% in case of SC/ST/OBC Candidate). Also the candidate has to pass the EAMCET exam as the EAMCET rank will be used for admission process.

There are many other engineering entrance exams, you need to prepare for those exams and try to crack them to pursue engineering.

EAMCET is completely based on NCERT syllabus. To secure well in this exam, you need to strictly follow all NCERT books and try to write as many mock tests as possible. Attend a good coaching institute is you have time, in order to achieve and learn few shortcuts.

You have achieved a great score. You rank varies between 2k-3k. You can check your approximate rank using Shiksha rank predictor.