The state's Cajun governor, Edwin Edwards, was turnr ing over the office today to a congressman who has represented the New Orleans suburb of Metairie since 197 Two inaugural balls tonight are just the tag end of a weekend of festivities. At an invitation-only party Sunday night, Treen quipped, "I hope that no consequences of the night prevent you from joining me at the inauguration." Swearing-in ceremonies also were planned for the 1980 Legislature and for eight Democrats, including Lt. Gov. Bobby Freeman, who were elected to statewide offices in 1979. Edwards went out in style Sunday night, waving a red 'veil over his head as he sashaye'tr'with two belly dancers at a "Denaugural Ball" thrbwn by friends.