It could be a couple of things that would make your car do that.... firstly, did you have this problem prior to installing all those ignition items? If you didn't have that problem, I would think it would be the coil. Did you also replace the spark plugs? It's also important to use factory MB parts for these specific applications. A lot of after market parts really don't measure up to factory specs. Yes, they're much cheaper, but a lot of times they won't work properly.
My best guess would have to be the fuel system. It could be:
Frequency Valve
Fuel Pressure Regulator
Oxygen Sensor
Thermo Time Switch
Warm Up Regulator
Those listed items are what it could be with the amount of information you provided.
It probably needs a tune-up, new points, condensor, rotor and spark plugs will do wonders for it.
Replace plugs, wires, cap, rotor, belt as needed. Also check all fluids.Replace plugs, wires, cap, rotor, belt as needed. Also check all fluids.
Sounds to me like you need to replace the spark plugs, spark plug wires and rotor. If the condition still persists, replace the distributor cap.
The RX8 has 4 spark plugs or two plugs per rotor. Each rotor has a leading and a trailing plug, the trailing fires a little bit after the leading plug.
On a car with a distributor: cap, rotor, plugs and wires On a car with coil packs: plugs and wires
Check your fuel filter.
Check to see whats missing when it won't start. Needs fuel & gas to run.
It is feeling silly and my other answer is it is behaving badly
The gap on the plugs might not be gapped properly.
Also when you try to give the car more gas. It starts to run very rough.
Have you changed the fuel filter?
no spark to plugs