The symptoms you describe seem unusual even for a malfunctioning camera.
Charge the battery.
Set the camera to the auto mode
Set the flash to Auto
Go outside to the daylight.
Turn the camera around and look at the lens while you take some pictures.
See if the lens has extended all the way out.
See if the lens cover is opening all the way.
Look for any smudges or finger prints on the front of the lens (glass).