1999 Saturn SC1 intermittent starting issue.

Does this only happen when the engine is warm?Do you have a multimeter or test light to trace power?

Here's what I suggest next time the starter becomes inop there is a switch below your clutch pedal that when your clutch is pressed all the way down it allows your starter to engage it's a safety device to make sure you don't start your car in gear. Next time your starter becomes inop make sure your car is in neutral and ebrake is on. Now go down to your clutch switch with key in the start position without the switch being pushed you should have power at the yellow wire to the switch and with the switch pushed and the key in the start position you should have power to the purple wire. If all that checks out then you will have to see if you have battery voltage to your purple wire to your starter with the key in the start position. If you do then bad starter. Your starter is located under your intake manifold so you would have to get under the car to test it.I would also make sure your battery cable's are clean and tight and have your battery tested as well.

As far as the lead's go you ground the black one and test for battery voltage with red one at all the point's I told you. Also make sure your battery cable's are clean and tight and your battery test's good. Your flashing dome light could be a loose connection to the battery loose blub or some other problem. Let me know what you find.

When it's acting up if you test for power at the clutch switch the yellow wire if there is no power there then i would suspect that possibly the remote key less entry is the problem.What the the key less entry module does to prevent theft is it controls the ground to the starter relay.Take a look you can see that in the wire diagram i posted for you.If you follow my instruction's you can figure that out instead of just loosing the use of your key less entry.Also even if you don't use your key less entry it could still not start i have seen them not start even when you haven't used them.The best way to solve your problem is to follow my instruction's.But that's up to you if want to try it your way have at it.If you want to do it my way let me know what you find when you test it like i told you.