basbrem:
Yes.
For getting health/other benefits in germany, i think you have to be resident here and you have to have job or if your health condition is not good and you are dependent on arbeitsamt then you will have the benefits in germany. If you go back to india, i do not think you will have any benefit from india other than finding a job and coming back to germany once again without any work permit hassles or migration to other countries with ease.
Other members, pl. correct me if i am wrong.
BR
Basbrem
Agree, Arbeitsamt won't pay unemployment benefit if you are living outside of Gernany, no matter if you are German citizen or not.
You can pay social / pension contributions based on the agreement between Germany and your origin country.
If you have a contract done in Germany but work in India, there is no problem.
There are too many details and corner cases here, so I propose to go to Arbeitsamt and eventually to Deutsche Rentenversicherung to get more information.