Maharashtra

If you are from TN, you can study BCA through distance mode from Madurai Kamaraj University. Else, I would suggest, you should look at the University of Madras or Pondicherry University, both are central universities and are eligible to award degree all over India and they are not limited to a particular state. Also, both the universities have study centres all over India. I would recommend Madras or Pondicherry University over Mumbai University if you are from South India.

Yes, this is a good option among all the colleges in Maharashtra. Nowadays, ranking and placement assistance of IIEBM is also good.
IIEBM's faculty members have good industry experience and the teaching pedagogy of management will help you to get a good position after 2 years of experience.

There are almost 46 medical colleges in Maharashtra.

SIBM, SCMHRD, IIMM are good institutes for MBA in Supply Chain.
Check the below link-
https://retail.shiksha.com/supply-chain-management-courses-in-pune-categorypage-11-45-1-0-0-174-114-2-0-none-1-0

No school offers fine arts as a subject in class 11th and 12th.

Both are good cities for pursuing graduation, many good universities are there in Mumbai and Bangalore. Christ University is known in Bangalore.

Sydenham, KJ Somaiya, Welingkar, MET, Chetana, NL Dalmia, SIES, Rizvi, San Francis, Atharva and Durgadevi Saraf are few decent colleges which accept CMAT scores.