Do India need nuclear power? They have no nuclear powered ships at the moment and are unlikely to be deploying far far away like the USN, I think it unlikely their carrier would leave the Indian Ocean so range is less of a problem. What I am not 100% sure about is the security of India's oil supplies but realistically they can get it from either the East or the West of them and I am not sure an enemy could cut those supply lines completely.
Uhh,
INS Vikramaditya has already deployed to Japan...
As for whether they need an CVN, that's up to them. :)
I thought India had one of their own carriers being built under their own power and then a larger one down the pipeline.
Yep, the previously mentioned
INS Vikrant. She's not huge, but it's a bit of a precedent as she is the only carrier ever built in India. The plan is to eventually replace
INS Vikramaditya with an indigenously built carrier, once the lessons learned from
Vikrant have been bedded down. Quite smart, the Indians.