1997 Other Saturn Models CAR WILL NOT START

I RECENTLY HAD MY ALTERNATOR AND SERPENTINE BELT REPLACED, I WENT TO START THE CAR AND THE KEY SLIPPED AND I LET GO BEFORE IT TURNED OVER, IT WAS ABOUT TO TURN OVER THOUGH. SO I TURNED THE KEY BACK AND TRIED AGAIN, NOTHING, NO REPSONSE WHATSOEVER; NO SOUND. THE LIGHTS ARE ALL BRIGHT IN THE CAR THE CAR DOES NOTHING, THE CLOCK HOWEVER I NOTICED CHANGED TIME AND WENT TO 12:00 AFTER? BUT IT IS ON AND FINE? THE STARTER I HAVE IN THE CAR IS ONLY 8MONTHS OLD? I AM THINKING PERHAPS A STARTER RELAY SWITCH? WOULD THAT KEEP THE CAR FROM EVEN TRYING TO START? THERE IS A SLIGHT SOUND WHEN YOU TURN THEKEY BUT NOT THE CLICKING SOUND THAT USUALLY INDICATED A BAD STARTER ALMOST SOUNDS LIKE A LIGHTSWITCH TURNING ON OR OFF?