NMIMS Deemed to be University Bannerghatta Bannerghatta Road Bangalore Answered Questions

No there is no need of having a background of Bachelor degree in information. Technology. As per the eligibility criteria, The applicants must hold a Bachelors Degree with at least 50% marks or equivalent CGPA awarded by any University incorporated by an Act of the central or state legislature in India or other educational institutions established by an Act of Parliament or declared to be deemed as a university under Section 3 of the UGC Act, 1956, or possess an equivalent qualification recognised by the Ministry of HRD, Government of India.

Yes, you can study integrated M.Sc in Computer Applications and Information Technology in K.S. School of Business Management.
The eligibility criteria for admission in this college is that candidate must have passed 10+2 examination from any recognized university in science or commerce stream with English as one of the main subjects.

As mentioned in your question, you can give a shot at NMIMS Bengaluru. However, that is a little costly institute but a decent one. BK School of Management is average. Considering the fact that most of the B-Schools have already started with the 2019 session, you need to look for colleges that are still taking admissions. Else, try for next year.