Colleges in Andhra Pradesh

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
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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).
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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.

Yes, but make sure that by qualifying in AUEET you are going to dual degree course. Anyway, I think there is a provision for quitting the course after completing your 8th semester and to get a B.Tech certificate. But be sure about it. It's better to contact AU admissions desk for more information.