India

Except Jadavpur University there isn't any top institute for engineering in West Bengal.

You may choose a college under Indraprastha University and Bharti Vidyapeeth. There are no other good universities or institutes in Delhi and NCR.

There are lots of courses to select after 12th from Arts such as:
BBA
BA with Economic
If you want to be a teacher, then:
-BA in English
-BA in Hindi
-BA in History
-BA in Sanskrit
-Or any relevant language.
Then, you can go for Journalism and mass communication.
-Fine Arts
-Performing Arts
-Designing
-Psychology

Yes, you can. But eligibility and experience requirements vary with every state and also if you earn a CPA license in one state you can pursue your profession in another state if you meet the norms. CPA is not only recognized in India but has a global recognition. Professionally it is the Indian equivalent of CA.

IHM Pusa road is the best, the admission happens trough the NCHMCT exam.

Some of the top colleges are: Birla Institute of Technology - [BIT Mesra], Ranchi; Ranchi University, Ranchi and Central University of Jharkhand - [CUJ], Ranchi.

Yes, you have a good rank. You can get CSE in SRM, Delhi.
Good luck.

IIIT Delhi is better in comparison to VIT or KIIT.
IIIT Delhi has good placement, faculty members are very helpful, and study environment is also good.
If you are satisfied, please up vote the answer.