Explanation:

First is correct. Bengal under the Palas had interests in Assam, Burma and South East Asia too. The most important power in South East Asia during the heyday of the Palas was that of the Shailendra dynasty, which ruled over the Malay Peninsula and the Indonesian archipelago, including Sumatra, Java, Bali and Borneo.

Second is correct. Vijayanagara was also part of an international world; maritime commerce linked South India with East and Southeast Asia, the Middle East, and by the sixteenth century, directly with Europe. Vijayanagar was a South Indian Hindu empire, founded in 1336 by Harihara I.
Third is also correct. In 1025, Rajendra Chola, the Chola king from Tamil Nadu in South India, launched naval raids on ports of Srivijaya in maritime Southeast Asia, and conquered Kadaram (modern Kedah) from Srivijaya and occupied it for some time.
Fourth is incorrect. The Bahmani kingdom was founded, by a man called hasan Gangu which included the whole of the northern Deccan upto the river Krishna. The kingdom had no relations with southeast Asia and was limited to India only.