"look at me." Here "open your eyes" is a metaphor that represents paying attention to someone. Alternate translation: "pay attention to me" (See: [[rc://en/ta/man/translate/figs-metaphor]])
"so that you may hear the prayer that I, your servant, am praying." The word "servant" refers to Nehemiah. This is how a person would address his superior in order to show humility and respect.
By saying that he prays both during the day and during the night, Nehemiah emphasizes the frequency of his prayers. Alternate translation: "all the time" (See: [[rc://en/ta/man/translate/figs-merism]])