When did Israel have international support and on what day and on what hour did it turn against them?
They had it after their soldiers were kidnapped. The approval didn't vanish in one instant it was a gradual process but started when they bombed the Intl. Airport in Lebanon.
After their soldiers were captured and even when they initially started to retaliate against Hezbollah, a lot of leaders were saying that Israel had the right to defend itself but that they should temper their action. Well, they continuously expanded their operations and the international community turned on them entirely.