Israel began slowly withdrawing its forces from southern Lebanon on Tuesday and made plans to hand over its captured territory as hopes were raised that a U.N.-imposed cease-fire would stick, despite early tests on its first day. Hezbollah guerrillas fired at least 10 rockets in southern Lebanon overnight, but none crossed the border into Israel. On Monday, at least six Hezbollah militiamen were killed by Israeli troops waiting for a peacekeeping force before beginning a full-scale withdrawal. Lebanon was under intense international pressure to move its soldiers south into Hezbollah territory — a key element in the U.N. Security Council plan to end the 34-day conflict that claimed more than 950 lives. Lebanon’s Defense Minister Elias Murr said the country’s contribution of 15,000 soldiers could be on the north side of the Litani River by the end of the week. But they still must cross the river and try to enact control over Hezbollah areas for the first time in decades.