Colleges in Andhra Pradesh

No, you are not eligible.
AU is the topmost university in the AP. Only top rankers will get the seat in that college and your rank must be in the range 3000 or below.

Admission is through web counseling based on the rank obtained in Andhra Pradesh Engineering, Agriculture and Medical Common Entrance Test (AP-EAMCET). Minimum Eligibility to Apply is that candidate should have a pass percentage of 45% in class 12.
For further details regarding this course, please refer to the link provided below:
https://www.shiksha.com/b-tech/course/b-tech-in-mechanical-engineering-rajeev-gandhi-memorial-college-of-engineering-and-technology-rgmcet-kurnool-165387
Regards.

It is based upon your interest to choose between various universities.
I suggest Presidency. Vignan is also not bad.

Notification and Commencement of Sale of Application Forms of distance education of Andhra University: 09th April 2018
Last Date for Receipt of Filled in Application Form: 11th May 2018
Thanks!

The candidate must be:
(i) in-service
(ii) must have a teaching experience of 2 years at least
(iii) graduate with 50% (40% for SC/ST/BC/PWD).
Thanks!

Yes, you are 100% eligible.

Yes, I think you have a lot of chances of getting a seat.

If you qualify AUEET, you are eligible to get a seat in Andhra University. Admissions are done through both the exams.