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/jit/figs-metaphor]])
This double negative emphasizes that the food that he ate was the only thing he had to think about. This is probably an exaggeration or metaphor to say that Joseph took care of all the important business of the house while Potiphar thought only about minor personal affairs. Alternate translation: "The only thing he had to think about was the food that he ate" (See: [[rc://en/ta/man/jit/figs-doublenegatives]] and [[rc://en/ta/man/jit/figs-hyperbole]] and [[rc://en/ta/man/jit/figs-metaphor]])
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/jit/figs-doublet]])