Distance/Correspondence

Well since you are already working in Sales and Marketing profile so I guess it will be difficult for you to pursue MBA in a regular curriculum otherwise I Would have suggested you go for regular course. However if you cannot do a regular course, you can search Symbiosis university Distance MBA programme or some Government university distance learning programme. Also for your knowledge you can do some certificate courses that will help you in your profile as for the time being.

which course you are asking for?

IGNOU.
Annamalai University.
National Law School of India University.
Madurai Kamaraj University.
Guru Nanak Dev University.

Doing M.Tech or B.Tech or any other technical courses are not allowed in distance learning mode in India as per UGC guidelines so I would recommend, if you wish to do M.Tech or any other engineering program then you should take admission in regular college rather than in institutes, because your degree will not be valid.

No, there is no such options.

Yes, of course, you can do MBA as this will help you in getting more information about what you want to pursue. This will also help you in understanding the base and all the systematic approaches and functions for how you'll manage the things.
All the best.

I think you should go for the distant learning colleges available in Pondicherry itself instead of finding any other university which has a study center here. In Pondicherry, 2 colleges provide master's through distant learning. Follow the link given below to get details about both the colleges
https://www.shiksha.com/humanities-social-sciences/psychology/colleges/colleges-Pondicherry