Have you checked the battery ?
I have the ETRSi that's battery dependant .
However with that if the batteries flat it will still fire , but 1/500th sec ( IIRC)
That wouldn't stop me winding on though .
I've not used the SQ range , and not sure how they behave regarding batteries . But just a thought .
If you've received something that doesn't work , it needs to go back .
You say the packaging was damaged , was the camera wrapped up well enough to have prevented damage to it despite the outer packing being damaged ?
If not , there's where the problem starts .