Mumbai

I think yes, because 120 marks are good for ICT. But I am not sure about home state quota in Mumbai.
You can try.
Best of luck.

You are definitely eligible to take admission in Goa University. For that, you have to take a migration certificate from the Mumbai University. Best of luck for your future and if any query, feel free to ask.

The CAP process for MBA Admission in Maharashtra has already begun and still going on kindly visit the DTE Maharashtra website for more information and on 61.05percentile It's very difficult to get you better MBA college but still you can try or can do repeat the entrance exam if possible.

Yes, St. Xavier's College, Kolkata does offer B.A. (Hons. ). In Political Science. For further details regarding this course, please refer to the link provided below:
https://www.shiksha.com/humanities-social-sciences/political-science/course/b-a-hons-in-political-science-st-xavier-s-college-Kolkata-park-street-83765.

Delhi University, colleges under Calcutta University, etc. are the best for B.A. Political Science Hons.
Other colleges are also there-
Please check this link once.
https://www.shiksha.com/humanities-social-sciences/political-science/colleges/b-a-colleges-india

ICT Mumbai is the best institute for chemical engineering in India. The infrastructure of this institute is very good. One of the best faculty members for chemical engineering are in this institute. Definitely, this institute will be the best option.

Please refer to the link below:
https://www.shiksha.com/university/tata-institute-of-social-sciences-Mumbai/exams/tissnet/syllabus.