Lot in Sodom

Jesus warned us that the time of His Second Coming could be compared with the days of Lot and the conditions in Sodom. Was Lot a righteous man? Why did he live in Sodom? Why was Sodom destroyed? Was it only because of homosexual conduct? Are there archeological proofs outside the Bible showing us that Sodom was indeed destroyed? Why did Lot’s daughters commit incest with their father? What can we learn from Lot’s life?