When Solomon was speaking, these hypothetical situations had not happened, but Solomon knew that they might happen in the future. Use the form in your language for talking about events that have not happened but might happen in the future. (See: [[rc://en/ta/man/translate/figs-hypo]])
Here "return to you" represents submitting to Yahweh again. Alternate translation: "they submit to you again" (See: [[rc://en/ta/man/translate/figs-metaphor]])
The idioms "with all their heart" means "completely" and "with all their soul" means "with all their being." These two phrases have similar meanings. Alternate translation: "completely" (See: [[rc://en/ta/man/translate/figs-idiom]] and [[rc://en/ta/man/translate/figs-doublet]])
This refers to Israel. Praying toward Israel would show that they were praying to Yahweh, the God of Israel. Alternate translation: "that they pray facing their land" (See: [[rc://en/ta/man/translate/translate-symaction]])
Solomon speaks of commanding the people to build the temple and telling them how to do it as if he himself had built it. Alternate translation: "the house that your people have built under my leadership" or "the house that I and your people have built" (See: [[rc://en/ta/man/translate/figs-synecdoche]])
Possible meanings are 1) Yahweh's name represents himself. Alternate translation: "for you" or 2) Yahweh's name represents his reputation. Alternate translation: "for your reputation" (See: [[rc://en/ta/man/translate/figs-metonymy]])