There are many idioms in this exercise!
From c), “throw in the towel” means to give up or quit. It implies defeat, like you lost a fight.
From e), “lay your cards on the table” means to show what you have, literally what playing cards you held in your hand in a game of poker.
“Clear the air” means to have a conversation to clarify or address a misunderstanding or conflict. It implies there are unspoken things that are making a situation difficult or tense because they aren’t being acknowledged.