Degree

Yes,you are aligeble for this program but for this you must have more then 50% in your 10th,12th,or in your diploma.

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.

Here is the link, you can check all the eligibility criteria to get admission in this institute
https://www.shiksha.com/university/jamia-millia-islamia-jmi-Delhi-843/admission
kindly follow the link to get more details.

Yes, you can do it.

Your graduation doesn't matter. You can apply for the government jobs.

Shri Ram College of Commerce is better than Delhi School of Economics with a tiny margin because getting in SRCC is more difficult than DSE. What makes SRCC more prestigious? Although, it is affiliated to the University of Delhi granting undergraduate and postgraduate degrees, but you would be shocked to know that it was established in 1926, much before than Delhi School of Economics.* (Delhi School of Economics was established in 1949)If an institution is so old that means it has something special which attracted students for so many years.

its perfectly normal to pursue an MBA degree after completing your Graduation. In fact, IIM-A gives special preference to non-engineers while admitting students. Hence, of course, it will be difficult because its IIM-Ahmedabad, but it will be less difficult for you.