Q206380 - IBFC Pesquisador-Tecnologista em Informações e Avaliações Educacionais 2012

Read the following sentences I, II, III: I. 
I sent a letter to the airline company complaining about the problems I had during the flight and they have promised to look into the matter.
II. Although that doctor hasn't won the Nobel Prize, I look up to him.
III. I promised her that I would look after her kids if she weren't able to do that.
It's correct to say that the meaning of each underline bold phrasal verb is respectively