The hardening of Pharaoh's heart is described both ways, as God doing it and as Pharaoh doing it. The idea seems to be emphasizing agency, rather than the reverse: God took some actions to free the Hebrews. Pharaoh responded to these with (varying degrees of) opposition, anger, and pride. God's actions were the proximate cause, sure, but Pharaoh was not a puppet.
For Sodom, the dialogue ends at 10 because, as with Noah, we then get down to the number of the last remaining righteous (or less-bad) family, and they are commanded to leave. The indication (made explicit elsewhere in the Bible) is that God would not destroy even one righteous along with the wicked, when it's a direct action. In the Gospels, Jesus then answers another charge related to this, when he says that things like a building collapse or other random accident can and does happen to both good and bad alike.
Ezekiel and the other prophets had it rough.
Babel is about pride and evil culture, not about feats of engineering.
The fig tree was a metaphor for Israel: "All leaf, and no fruit". Not a good day for that plant, but... It's a plant.