Colleges in Telangana

Yes, you can be able to get NIT Warangal - National Institute of Technology - B.Tech in Computer Science and Engineering, but getting CSE is difficult for that you have to wait till the last round of the counselling.

For admission in Madhira Institute of Technology and Sciences - Diploma in Computer Science and Engineering you have to pay 1 year full fee in advance plus the admission fees which is around INR. 5000.

Yes, you are eligible for MA in islamic after completing your B.Sc.

Hi, as far integrated course is concerned you need to check the placement records and infrastructure provision in that college. In case of JNU Delhi, it is the first batch of integrated course in 2018 whereas in University of hyderabad the placement record is good.
You can refer to the following link

Around 170 is enough to get CSE.

I'll prefer you to opt for the IIT, Hyderabad or DTU as these are the best college from all the colleges that you have mentioned above in terms of placements, infra and faculty. You should opt for the CSE in whichever college you are getting that.