1945
22 march 1945
Libya joined the Arab League because it is an Arab country.
Arab League was created on 1945-03-22.
The Umayyad Dynasty was founded when the Arab capital was moved.
Algeria join the Arab league 1962
Arab Champions League was created in 1982.
No. Iran, in fact, is not an Arab country as well not being a member of the Arab League.
Cairo is the Administrative Center (aka Captial) of the Arab League.
The answer you are looking for the UMAYYAD DYNASTY, but the question is operating backwards. The Umayyad dynasty was founded and the capital subsequently moved to Damascus, not the other way around.
22
When Gaddafi started shooting at protesters in March of 2011, the Arab League had enough of him and decided to temporarily suspend Libya from the Arab League. Gaddafi himself is not a fan of the Arab League and hated almost every Arab leader in the Arab League (except for Bashar Al-Assad of Syria, Abdelaziz Bouteflika of Algeria and Ali Abdullah Saleh of Yemen, all of whom did not voiced any complaints of Gaddafi shooting at protesters)