Re: Lebanon fighting
The partition plan of the British Mandate originally called for a separate state of Palestine and a state of Israel. The maps were drawn for the partition, but the Palestinians refused what was offered. The Israelis declared a state in 1948 and almost immediately the surrounding Arab countries declared war. They lost, but Jordan controlled the West Bank, including Jerusalem, and Gaza was annexed by Egypt.
Another historical note - the partition plan was loosely modeled on the partition of India and Pakistan (because that went SO well) and the Indian government was opposed to the partition of the British Mandate in Palestine.