MBA/PGDM

Their are many MBA colleges in Delhi, the best being
IIT Delhi
Amity University
Faculty of management studies.

Yes, you have the chance to get seat.

You can apply separately to the college, but there would be a centralized counselling called CAP.

Yes, you can easily do your MBA in Political Science after the B.Com degree programme from a reputed institution. Delhi University also provides M.A. In Political Science and the basic eligibility for this course is Bachelor's degree done with at least 60% marks in aggregate. You are required to appear for the M.A. Entrance test conducted by DU with the collaboration of the University Grants Commission.

Yes, it is. If you have any better opportunities in your hand or you are predicting that any other opportunity will come in near future, then it's separate issue. Otherwise, you should join whatever you have in your hand at least it will help you to have work ex Certificate.

Yes, DTE Maharashtra will also consider GMAT/CMAT scores.

Due to some technical problems or difference in changing education system from 60's to 20's. These are the two most probable reasons for your conditions. You should contact with tech help and support.

Yes, some scholarship are available for students like you.