Embattled New Jersey Senator Bob Menendez will not run for re-election in November, although he still refuses to hand in his resignation, The Post has learned. “He will not be running,” said a source close to Menendez. The three-term federal senator, who resigned his powerful position as chair of the Senate Foreign Relations Committee following the initial indictment last year, faces an 18-count indictment — and stiff competition from a group of Democratic primary challengers.