Plot hole: When the President calls his friend Sam at the newspaper, Sam goes on to mention about Captain America possibly meeting Red Skull. It was a Top Secret mission that failed, considering Sam doesn't even know that he's called Captain America, he's even less likely to know he met Red Skull.
Plot hole: It is beyond improbable that Red Skull's daughter would fly a helicopter directly to Northern Canada knowing that's exactly where Captain America would be, seeing as no-one knew what direction he headed from Alaska or that he even left Alaska.