Talk about going by the rulebook. Counting Crows lead singer Adam Duritz was turned down when he offered to sing at a karaoke bar in Savannah, Ga., the other night — just because it was almost closing time.

When the dreadlocked rocker entered McDonaugh’s with his girlfriend, movie starlet Emmy Rossum, the excited crowd was primed to hear a real professional. And Duritz was willing to perform. But he was told to come back some other night.

Duritz was at the Savannah Film Festival accompanying Rossum, who stars in “Dare,” the cerebral story of a high-school sex triangle directed by Adam Salky. Also down in Dixie was Scott Caan, who screened “Mercy,” which he wrote and stars in as a novelist trying to mend his broken heart with the help of his father, played by his real dad, James Caan.

Caan traded worst pickup lines at McDonaugh’s with a curvy young New Yorker who offered, “Does my napkin smell like chloroform?” Caan laughingly came back with, “You’re hot, wanna [bleep]?”

Woody Harrelson, who was there promoting the very serious antiwar movie “The Messenger,” complained to Page Six because we’d once referred to the marijuana advocate as “Wacky Woody.”

Director James Ivory screened “The City of Your Final Destination,” starring Anthony Hopkins, while Hugh Dancy, accompanied by his bride Claire Danes, showed “Adam,” in which he plays an engineer suffering from Asperger’s syndrome.

Shooting around the picturesque town, spared by Gen. Sherman in his 1864 March to the Sea, was Robert Redford, directing “The Conspirator” with Robin Wright playing Mary Surratt, the lone female charged in the assassination of Abraham Lincoln.