Arts ( Fine / Visual / Performing )

A Bachelor's degree in fine arts or even business administration could be done as there are no formal education requirements to be a cartoonist.

You can go for 2 years Advance Diploma in Fine Arts - Regular / Part time from NIFA.
To know more about the colleges offering such Diploma programmes. Please refer to the link: https://www.shiksha.com/arts-fine-visual-performing/painting-drawing/colleges/diploma-courses-india

There is only one degree which takes both the courses into consideration and that is Bachelor of journalism and mass communication but will not give you detailed information.

IISc-Bangalore, but it requires very good marks in JEE Advanced.

Why not? India is a land of rich culture. Why do you think that you cannot? Nothing is impossible if you have a good sense of music, definitely, you will be a successful singer. You can work both in India and overseas. First, you decide in which field do you have interest then you go for that.

You can go for colleges like SRM University, Rizvi College, Mumbai.

Minimum qualification required for Diploma course is 10+2. As you have done your graduation I would suggest you either go for certification or Masters program in drawing and painting.