Tamil Nadu Open University

Yes, the college does offer this course in Distance/Correspondence mode. And the fee is INR 15,600. For more details about the course, please check here- https://www.shiksha.com/design/fashion-design/course/b-sc-in-apparel-and-fashion-design-tamil-nadu-open-university-anna-salai-chennai-260204

It completely depends on the college norms that how many arrears you can carry forward to third year, get in touch with the college authorities for more details.

Go through the link below :
https://www.shiksha.com/design/fashion-design/course/b-sc-in-apparel-and-fashion-design-tamil-nadu-open-university-anna-salai-chennai-260204

Please specify the course for wish you wish to apply?

You must have passed class 10th from a recognized board.
Visit the official page for details: http://www.tnou.ac.in/pgdiploma/.

Yes, you are eligible for BCA and class 12th should be more than 50% marks.

its possible,you can start career in FD&T

Yes, you are eligible for the course. Admission is based on the marks obtained in graduation.
https://www.shiksha.com/law/course/ll-b-hons-the-tamil-nadu-dr-ambedkar-law-university-dr-radhakrishnan-salai-chennai-260945

For admission in the above-mentioned course, you need to have passed 10+2 or by the Central Board of Secondary Education (CBSE) or any equivalent exam conducted by any State Board or Equivalent.