The correct option is
B To search for
Option A is the correct answer because the phrase 'look for' means to search for someone or something.
Options B, C, D and E are incorrect because 'to care earnestly' means to look after something/someone in a serious and determined way, 'to disregard' means to not show any care or respect, 'to venerate' means to honor or very much respect a person or thing and 'to identify' means to recognize.