I'm a student from India and I'll be travelling to Japan on a student visa and stay there for 3 months. I'd like to visit South Korea at the end of my studies and stay there for a week or so, and then return to my home country, India from Korea. Do I need to get a visa to travel to Korea? And is it possible for me to return to India with or without it?
As an Indian citizen, you will need a visa to visit Korea. You're not eligible for the 30-day exemption, as you would need a valid visa from Australia, Canada, New Zealand or the United States.
However, once you get a visa for Korea, you can fly onwards to India.