Engine rolls over does not start

Question edited for full 'year make model' in that order.
Question moved to correct category.

Service manual in the link, but for your electrical problem, you will need a mobile auto electrician with a pro grade scan tool computer to diagnose the issue.

https://www.google.com/search?q=2004+mazda+rx8+service+manual+pdf

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Search google for "flooded rx8 fix"

Have a compression done as the early motor has problems with the quality of the apex seals . IN rotary motors if it seems to wind over for ever then the compression is too low to fire the mixture.. A good engine will start in 6 revolutions of the crank shaft.

The rx8 has the rotary ankles engine in it, these have porcelain tipped rotors instead of pistols and are prone to wear resulting in them not starting. The car should start with a bump or toe start. This will require an engine strip down and rebuild and should only be carried out by a qualified mechanic. (Mazda recommend rotors be replaced every 25000 miles)

Let me know if this helps

front #1, rear #2

you have a big issue the cyclinder is firing due to a timing issue. You will need to check if the timing belt, the ignition system is aligned to accurate settings. use a strobe to check for timing result according to the manufacturers setting.Or else you will need to check for defects in valve/cam settings.

Anti theft devise has locked out the starting system. I forget how to reset it but maybe one of the guys here might know.

Check to see if you are getting fuel to the engine.If not replace the pump relay.Then change the pump if still not working.Check for spark at the wires if you have no spark then change the crank sansor.If still no spark then change the coil pack.

Ummm.. Sounds like something in the engine compartment got wet.. Pull the plug and coil wires.. let them air out

Rx8 2004 check engine light it just teas on