MGR Government Film and Television Institute

The fees for the course is INR 74,980.
https://www.shiksha.com/animation/vfx/course/bva-in-animation-and-visual-effects-mgr-government-film-and-television-institute-taramani-chennai-362615

As per the prospectus of year 2019-2020 of M.G.R. Government Film and Television Institute, Chennai. The institute offers the following bachelor of Visual arts programs as under.
1. Cinematography
2. Digital Intermediate,
3. Audiography,
4. Direction & Screenplay writing,
5. Film editing
6. Animation

Yes, admissions are open in this college:
http://www.tndipr.gov.in/television-traininginstitute.aspx

You cannot apply online. You can download the form and then you should send it at:
Principal, M.G.R. Government Film and Television
Institute, Tharamani, Chennai-600 113, accompanied by the Xerox copies of the Certificate/testimonials duly attested by the Gazetted Officers mentioned in the application

Total fees of BVA in Direction and Screenplay Writing in MGR Government Film and Television Institute is INR 74,980.
For more details you can visit: https://www.shiksha.com/arts-fine-visual-performing/film-making/course/bva-in-direction-and-screenplay-writing-mgr-government-film-and-television-instit

No, it doesn't. You can view the courses on offer on their prospectus http://www.tn.gov.in/miscellaneous/mgrinst/mgrgfti_prospectus_2018_2019.pdf.

Total Fees of Diploma in Direction Screenplay Writing and Television Production in MGR Government Film and Television Institute is INR 45,000 .