I am guessing that you are using the auto clutch for the China Girl engine as shown in your pictures. If the "starter spring" is non-existent, the auto clutch's hub should not turn when the engine is off as it is attached to the engine's crank shaft. If you roll the bike back and forth with the hand clutch engaged (hand lever out) the clutch drum should turn leaving the clutch hub stationary. If the hub and drum turn as a unit then the drum is somehow jammed or stuck to the hub.
Note: most auto clutches do have a "starter spring" that is supposed to allow pedal starting of the engine. It acts like a one way clutch device, allowing the auto clutch and hub turn in unison to start the engine. Once the engine is started the "starter spring" releases it's grip in the clutch hub and the auto clutch goes into the normal, as expected mode of operation.
This can be observed when watching the auto clutch (engine off and cover removed) and rolling the bike back and forth. Rolling forward the auto clutch will be locked up and turn as a unit. Rolling backwards the auto clutch drum only will turn and the hub will be stationary. If the "starter spring" is installed backwards then the reverse of the above description will be true. The clutch will be locked up and turn as a unit when rolling backwards, but the drum only will turn when rolling forward.
Also when the engine is running with a backwards installed "starter spring" this will cause an unwanted drag on the auto clutch and the bike will want to roll under engine power at all times, even at idle speeds. Note that this effect is not strong enough to propel you down the road so when the bicycle is at a complete stop the engine will stall while at idle speeds when you release the hand clutch. The "starter spring's" grip is not as strong as a fully locked auto clutch in drive mode.
Also... if this "starter spring" is installed backwards then the only way you will be able to start the engine is by using the pull starter. Once the engine starts the backwards installed starter spring will create the above described issues leading to headache, annoyance and foul language.