"and asked him to give a sign from heaven" or "by demanding that he give a sign from heaven." This was how they wanted him to prove that his authority was from God.
"kingdom" here refers to the people in it. This can also be stated in active form. AT: "If people of a kingdom fight among themselves, they will destroy their kingdom" (See: [[rc://en/ta/man/translate/figs-metonymy]] and [[rc://en/ta/man/translate/figs-activepassive]])
Here "house" refers to a family. AT: "if family members fight each other, they will ruin their family" (See: [[rc://en/ta/man/translate/figs-metonymy]])
"crashes down and is destroyed." This image of the house collapsing refers to the destruction of a family when the members fight each other. (See: [[rc://en/ta/man/translate/figs-metaphor]])