I have the same exact problem. i replaced the battery and it did not help at all. The car runs fine when im able to start it up.(other than the fact it runs rich and cant see to pass california smog test, used to overheat and still somtimes smell like its about to overheat again and i dont know how to fix them)But first things first get it to start running.
I also think i have a valve seal leak cuz when i start the car after a few days of siting there white-blueish smoke comes out
does would that have a effect on starting the car?
And what do u mean a "gear tooth on the cps"?
So if u guys could help me out that would be great.