FOXBOROUGH, Mass. — After signing a new contract to return to the Patriots for a 13th season, veteran running back Kevin Faulk said Bill Belichick was the biggest reason he was motivated to rehab his knee following surgery and come back to the team. “Honestly speaking, before the lockout started, Bill called me and told me, ‘Hey Kevin, I want you on my team in 2011.’ That was motivation enough fo…