Rivers went 11-of-22 through the air for 165 yards for the Chargers (6-9), who won for the second time in three games.
Greg McElroy started behind center for the Jets (6-9) in place of the benched Mark Sanchez and responded by completing 14-of-24 for 185 yards with an interception and a fumble lost in his first NFL start.
Shonn Greene was limited to 38 rushing yards on 14 carries as New York dropped its second straight.
The Giudices celebrate Easter as they prepare for jail
Rosie O'Donnell unveils nearly 50-pound weight loss