From the Way Back Machine (New York Times): Chronology of Crisis About 6 A.M. (midnight Wednesday, New York time) - Israelis begin bombing west Beirut. As raids continue, Lebanon's Prime Minister, Shafik al-Wazzan, tells Philip C. Habib, the special American envoy, that the talks cannot continue. 2 P.M. (8 A.M., New York time) -The Israeli Cabinet meets. A message from President Reagan arrives, expressing ''outrage'' and, reportedly threatening to halt the Habib mission. The Cabinet decides to end the raids and order new ones only if they are ''essential.'' 4 P.M. (10 A.M., New York time) -President Reagan tries for hour to call Mr. Begin but cannot get through. 4:50 P.M. (10:50 A.M., New York time) - King Fahd of Saudi Arabia calls Mr. Reagan. 5 P.M. (11 A.M., New York time) -A new cease-fire goes into effect in west Beirut. 5:10 P.M. (11:10 A.M., New York time) - Mr. Reagan reaches Mr. Begin for 10-minute telephone call. 5:40 P.M. (11:40 A.M., Ne...