M.Tech

B.Tech + M.Tech combination is more of the technical side, which will help you to pursue the research work or be in teaching domains. Whereas, B.Tech+MBA will help you to have managerial exposure in the technical domains or only managerial side.
Both of them are equally good. It purely depends on you what part you are interested in only technical or both managerial or technical.

Yes, but makes no sense. You can sit for off campus interviews in a metro city.

It's better but first qualify GATE so that it would be better you to join in any government sector. Nowadays many government sectors are making GATE as the qualification for them. M.Tech is not that useful. Go with government jobs preparation.

Hello Kumar,
What perhaps you mean is the engineering course offered by your University. All engineering courses offered in India by any institute has to have AICTE approval. Not only PG in foreign shore, your very employment in India too is affected since it's an illegal degree.

Dear Vamsi,
As per the UGC guidelines, no college in India can offer engineering and medical courses through distance mode. Doing this is illegal. So, you ought to go for regular mode.

Yes, possible!
Since this is a PG level course, possessing an Undergraduate Degree is necessary to be able to pursue this course. One may pursue this course after completing UG programs like-B.E. /B.Tech. Marine Engineering, B.E. /B.Tech. Mechanical Engineering, B.E. /B.Tech. Electrical Engineering, Naval Architecture.

You will get seat through Counselling in B.Tech (CSE) - IDP course in JNTUH.
You may also get a seat in 4 year course, B.Tech (CSE) - Reg. Don't forget to give it a try.