India (Hindi: Bhārat), officially the Republic of India (Hindi: Bhārat Gaṇarājya), is a country in South Asia. It is the seventh-largest country by area, the second-most populous country, and the most populous democracy in the world. Bounded by the Indian Ocean on the south, the Arabian Sea on the southwest, and the Bay of Bengal on the southeast, it shares land borders with Pakistan to the west; China, Nepal, and Bhutan to the north; and Bangladesh and Myanmar to the east.
The direction of Karbala from India is very near to the direction of Qibla from India. You can refer to local Ulama in your area for more details.
There is no such prophecy at all neither in Shia books of Hadeeth nor in authentic Sunni Hadeeths. There are three weak and fabricated narrations in this regard; one of them narrated from Thawban, one of the servants of the Prophet Muhammad (SAWA) but with out authentic narrators to Thawban. Two narrations from Abu Huraira who was serving Bani Umayya and fabricating for them whatever they wanted. These two narrations are in favour of the army of Bani Umayyad who attacked India.
These weak and fabricated narrations have no value among the scholars of Hadeeth.
'Unfortunately, such baseless "prophecy" is been misused by terrorist groups who consider all who differ with them as Kafir, from one side, and on the other side, by enemies of Islam to instigate non Muslims against the Muslims in India.
Yes it is permissible to buy and sell stocks in the stock market in any country as far as the company is not dealing in unlawful business like alcohol, pork, usury, weapons for harming people, gambling, production of sinful materials, etc.
Shares of any company involved in unlawful activity is unlawful to deal with.