Here being "cut off" from Yahweh's house represents being excluded from the temple. Alternate translation: "he was excluded from the house of Yahweh" or "he was not allowed to go to the temple" (See: [[rc://en/ta/man/translate/figs-metaphor]])
Here being over something represents having responsibility or authority for it. Alternate translation: "Jotham, his son, was responsible for the king's house" or "Jotham, his son, was in charge of the palace" (See: [[rc://en/ta/man/translate/figs-metaphor]])