Here "found favor" is an idiom that means be approved of or that he is pleased with her. Here "eyes" are a metonym for sight, and sight is a metaphor representing his evaluation. AT: "if you have evaluated me and approve" or "if you are pleased with me" (See: [[rc://en/ta/man/translate/figs-idiom]] and [[rc://en/ta/man/translate/figs-metonymy]] and [[rc://en/ta/man/translate/figs-metaphor]])
"Before the king" here is a metaphor representing his evaluation. AT: "if what I ask for seems right in the king's evaluation" (See: [[rc://en/ta/man/translate/figs-metaphor]])
Here "your eyes" is a metonym for sight, and sight is a metaphor representing his evaluation. AT: "if you evaluate me and I please you" or "if you are pleased with me" (See: [[rc://en/ta/man/translate/figs-metonymy]] and [[rc://en/ta/man/translate/figs-metaphor]])
A "province" is a large area into which some countries are divided for the purposes of government. See how you translated this in [Esther 1:1](../01/01.md).
Esther used these questions to show that that she would be extremely sad if her people were to be destroyed. AT: "I cannot bear to see disaster fall on the Jews. I cannot endure watching my relatives be killed." (See: [[rc://en/ta/man/translate/figs-rquestion]])