VFX

You can go for Advanced Program in VFX. This course covers subjects ranging from the very basic of 3D film-making like pre-production and storyboarding, to advance level topics of motion graphics, digital design, and editing.
There is another course VFX Plus which teaches you to create high-end visual effects for films & television and other industries.
Both the courses are offered by MACC.
For details, refer to website: http://www.maacindia.com/vfx-courses.aspx

Some institutes do not disclose their fee online. It would be better if you could directly contact the college to know about the exact fees for VFX for films.
Link: http://schoolofmediadesign.com/.

You can go for WLC College India or Frameboxx Animation and Visual Effects.

It is the common exam for entrance for Maters Design program in any of the IITs.

Arena animation offers short-term course in VFX like: Compositing & effects, Audio/ video editing, Web design & graphics, Design/ drawing and many more.

Yes, you can do MBA as entry requirement is graduation in any stream.

Not at all. Doing Bachelor degree is not necessary because you already have technical degree and to learn VFX you can pursue diploma or master degree from some good institute like-NID, CEED, DSK, SYMBIOSIS, or MAAC. 1-2 year course is enough to learn VFX and rest lies on your hard work and creativity.