Like father, like son. Sex-scandal-scarred Oscar winner Joseph Brooks' slacker son was slapped with attempted-murder and strangulation charges last night in the death of his swimsuit-designer ex-girlfriend at the posh Soho House hotel, police said. Nick Brooks, 24 -- whose dad was indicted last year on 82 counts of sexually abusing young actresses -- was booked after nearly two days in police custody, where he was grilled by cops and body-searched for DNA and other evidence. The felony strangulation charge is new to the New York penal code. Just eight days old, the provision is aimed at domestic abusers whose...