"have not engaged in sex with." Your language may have a more polite way of saying this. AT: "have not known" (See: [[rc://en/ta/man/translate/figs-euphemism]])
# whatever is good in your eyes
"whatever you desire" or "whatever you think is right"
The two men were guests in Lot's home, so he needed to protect them. The word "roof" is a synecdoche for the whole house and a metaphor for Lot protecting them. AT: "into my house, and God expects me to protect them" (See: [[rc://en/ta/man/translate/figs-synecdoche]] and [[rc://en/ta/man/translate/figs-metaphor]])