Directorate of Distance Education, Alagappa University

Yes, you can enroll for Post Graduate Diploma in Sports Management from Directorate of Distance Education, Alagappa University.
Interested candidates can apply directly to the university or through any one of the approved learning centers. Basic eligibility requires Candidates to be a graduate from a recognized University. Regards.

Mathematics and Psychology are two completely different paths, if you are interested in psychology, drop your field if you are in the 1st year and follow your passion. Do not waste your time doing irrelevant things which you are not interested.If you are at the peak (final year) of your B.Sc maths field, I suggest you complete graduation, so that you have a degree which acts as a backup plan/source of the part-time income.

There are English Paper-1 and English Paper-II in the course structure of B.Sc psychology. To apply B.Sc in psychology you need to have passed 10+2 examination or three-year Diploma.
For course structure, refer to the link: https://www.shiksha.com/humanities-social-sciences/psychology/course/b-sc-in-psychology-alagappa-university-distance-education-karaikudi-81689

Eligibility for B.Sc. in Psychology
Most institutes offering the course admit students based on their performance in the HSC (10+2) exam. The candidate needs to have:
completed the 10+2 level of education from a recognized educational Board.
secured a minimum aggregate score of 50% at the 10+2 level.
Have reasonably good problem-solving and mathematical skills.

MBA in international business is a very famous course with a lot of opportunities. The opportunities are limited in our country. The major drawback of this course is the limited opportunities in our country. If you have 1-year experience, you will get a good international business related job with a good package.The salary package of this course will start from 5 lakhs to more than 30 lakhs. So I would suggest you to study the course in other countries.

As per the Gov. of India norms, universities are not allowed to open any study centres else their recognition will get cancelled.
Although, you can refer online courses from universities like Mewar Universty (mewar.edu.in) for online courses
or IGNOU(ignou.ac.in) for offline MBA.

Well yes, there are a few universities in which you can do integrated MBA. It can be done in private deemed as distance mode also.