Colleges in Visakhapatnam

Yes, you may have chance. Please visit www.gitam.edu.in.

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.

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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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.

Yes, of course. You can get a seat in CSE branch even in Visakhapatnam campus with your rank.
Tuition fee=2,42,000/-
Special fee=30,200/- per an academic year.

For a good career in management (PhD) I would like to suggest you to go for Fellow Programme in Management (FPM) at the reputed Indian Institute of Management (IIMs), XLRI, MDI, IRMA and similar institutes.

AP-EAMCET 2018 college predictor:
Use your AP-EAMCET 2018 rank to see where you can get admission at the link provided below:
See the courses, colleges and rounds you may crack.
The result is based on admissions data of AP-EAMCET 2017.
Get resources and insights on colleges and courses.
https://www.shiksha.com/b-tech/resources/ap-eamcet-college-predictor