Up to date June 7Not even inclement climate may dampen this morning’s Lionel Richie concert. After shifting it inside to Studio 1A, the performance become a karaoke birthday celebration — on and off set.First, Al Roker took a cell-telephone video of Natalie, Jenna and Savannah singing alongside to “Caught on You.” Then the true fun commenced, when the Al, Lester, Jenna, Natalie, Savannah and even Matt joined Richie’s band…