When something is "put under someone's care," it means that the person is responsible for its care and safe-keeping. Alternate translation: "So Potiphar put Joseph in charge of everything that he had" (See: [[rc://en/ta/man/translate/figs-metaphor]])
The word "now" marks a break in the story line as the author gives background information about Joseph. (See: [[rc://en/ta/man/translate/writing-background]])
Both of the words have same meaning. They refer to Joseph's pleasing appearance. He was likely good-looking and strong. Alternate translation: "handsome and strong" (See: [[rc://en/ta/man/translate/figs-doublet]])