As per your interest, you should make up great career into Media and Advertising field and hence recommend you to go for colleges like KJ Somaiaya where dey have IMC specialized MBA 2year course and has seen best Placements with media houses and ad agencies and production houses.
Alternative is MICA for media management MBA where 100percent placement is guaranteed with average of 10lpa.
Both have nomjnal fees and best Infrastructure considering the value they bring to table jn making your career.

Sayyed, IIM Raipur
Most of the premier b schools are crowded with engineers. And many of the engineers choose that path when they bored with technical jobs, especially in IT. You may work with different media management companies with Ogilvy & Mather, and marketing department of various companies. The type of jobs will depend on your ability and institute. The institutes like MICA have good placements with good packages, brands, and position.

Yes .Most of the management colleges demand any degree for admission.