`Agency Houses` were indeed significant commercial entities during the late eighteenth and nineteenth centuries in India. They played a crucial role in the commercial and economic activities during this period. So, statement 1 is accurate.

Statement 2 suggests that the operations of these `Agency Houses` or managing agencies were only confined to Calcutta. This is also true because Calcutta (now Kolkata) was the colonial capital of British India and a major commercial hub during the time mentioned. Thus, statement 2 is correct.

Option 1 and option 2, which both suggest that only one of these statements is true, are incorrect for the reasons mentioned above.

Option 4 is incorrect as neither statements 1 or 2 are false.

Therefore, option 3 which asserts both statements 1 and 2 are correct, is indeed the correct answer.