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Hello,
Please visit this college predictor:
https://www.shiksha.com/b-tech/resources/ap-eamcet-college-predictor

Yes, it is recognized by UGC. The placement depends on your skills. They provide excellent placement assistance. The university is having International collaborations with universities / institutions of higher learning in countries like China, Malaysia, West Indies, U.S.A. and South Korea.

I don't think you can go for the software engineering course. Although, you can surely do course to learn computer languages such as C,C+ which might help you in achieving what you want to do but for doing engineering, you should have opted maths in class 12th or non-medical per say. Now that you have taken arts so either you can do B.Cc in the subjects you have took like economics or geography. These things can surely be good for you.
Good luck.