Animation

It depends on the Curriculum of the college.

Not really, fluent English will be an advantage for you but not speaking English fluently will not a barrier till the time you are confident about yourself. Just be who you are and excel in the course you are doing, everything else is secondary.

Follow the link below to get details about all colleges available in Jaipur for graphic designing and web designing. You can refine your search using different filters according to your preference
https://www.shiksha.com/animation/graphic-web-design/colleges/colleges-india?uaf[]=exam&uaf[]=location&rf=filters&ct[]=109.

Syllabus of the entrance exam for animation:
Visual Design, Thematic Color Arrangement, Subjects of Design, Sensitivity to Environment, Memory Drawing, Knowledge of Proportions and Perspective, General Mental Ability, Drawing Skills and
Creativity.

Yes, you can. There are many colleges which are offering M.Sc animation. Select good colleges and go through their website for eligibility criteria.

No, you no need to have a good drawing. You just have to have focus and you will learn everything in your college. Is it necessary to disassemble a car then only you can pursue automobile engineering?

Just go to the respective website and apply for the college.

For certificate courses, there isn't any entrance exam.
It is only for UG or PG courses, entrance is must for admission.