The correct answer is Option 3: A, B, C, D: 5, 3, 4, 1.

Let`s understand why this option is the correct answer by matching the elements of List -1 with the respective elements of List - II.

A. Warrens Hastings: He was the Governor-General of India from 1773 to 1785. The Anglo-Burmese War occurred during his tenure. So, option 1 (2) is incorrect.

B. Cornwallis: He was the Governor-General of India from 1786 to 1793. The Battle of Plassey occurred before his time, so option 2 is incorrect.

C. William Bentink: He was the Governor-General of India from 1828 to 1835. The Charter Act of 1813 (3) happened during his time. So, option 3 (5, 3, 4, 1) is correct.

D. Ambert: There is no historical figure by the name of Ambert in the context of British India. Hence, option 3 is the correct answer.

In conclusion, the correct matching of List -1 with List - II is:

A. Warrens Hastings - 5

B. Cornwall