1997 Saturn SC2 wont start electrical issue

Not turning over means that you try to start it and get NOTHING. If the engine cranks and wont start that is a different issue.

Need more information. Is the battery good? Does it turn over? if the battery is good and it won't turn over you could have a stuck start solenoid (Tap with wrench) or the relay that energizes the starter is bad. I just replaced the relay which is part of a connector under the dash on my 98 SC2, after a new battery and an indication of no voltage to the started when the key was in the start position. works now

if it is a stander pull the floor mats out of the driver side and try again

That happens to me sometimes, too. It just locked about an hour ago as a matter of fact. You're supposed to turn the wheel, I believe to the left, as you turn the key in the ignition. I don't even think about it much anymore, because it easily unlocks.

This is most likely a security issue. On most GM models there is an anti theft device already in place. It stems from that little black chip in your key. When this starts to fail (which is VERY common) you start to get intermitent starts and a light should appear on the dash that says SECURITY when it doesnt start. If you see this light, you know exactly what it is. This link explains the situation, lists symptoms of a security fail, and gives a couple DO IT YOURSELF ways to fix it.

http://vatspasslockpasskeysecurityhelp.yolasite.com/

Not sure on engine problem. Go to car-part.com for used parts.

replace the starter it is obviously faulty then start finding the rest of the faults

I had the same problem in a 1997 SC2.  Turns out that finicky/broken door lock/unlock switches were causing an intermittent short.
I removed the 20A fuses to these locks in the switch panel under the radio.  Problem fixed.

check the cable on battery ive seen lot of saturn with broken battery therminal check that out and boots our car it sound like a weak battery thank you pierre

It sounds as if the crank position sensor is bad.When the engine heats up,it cases the sensor not to work.After the sensor cools it will work again.

Ken