.01 amp is 10 milliamps - the spec is .045 to .055 amp. Your readings seem very low for a Crossfire.
And above all: If you have .01 amp flow with flashers blinking, your meter is not accurate. Not even close.
It seems to make little difference on the power draw if the key is turned on or off.
Again, your meter is bad or you do not have it connected correctly.
All of your talk about "three times and the battery is dead" and "it runs three times and..." makes me think the SKREEM is bad.
FACT: Starting the car three times will not discharge the battery. PERIOD. You are misreading what is going on, OR you have a completely defective battery. If the battery is dead after three starts, you need a new battery, PERIOD.
But again, it sounds like you have a bad SKREEM -but I am reading between the lines, I"m not standing next to your car so I can't say for sure, but nothing you have posted lines up. Your current readings are invalid.