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 and visual effects.
The engineering diploma in EEE and ECE are eligible for first three courses, while last three courses are required class 12th passed in any stream.
Hence, Diploma in film technology (Animation and Visual effects) is not here.

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 form.

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-institute-taramani-chennai-362611

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.