Are you connected to the internet? Spore's DRM system, SecuROM (which violates US law and is the subject of numerous lawsuits against EA), requires you to be connected to the internet to install the game. You probably weren't aware of this, as nowhere on the box, the manual, or even the EULA does it state that SecuROM is included on the disk. SecuROM is also notorious for rendering DVD drives useless, either permanently, or as long as a disk image emulator is present on the system. If you have a disk image emulator, such as Daemon Tools or Alcohol 120%, installed, you should try uninstalling it and see if that helps. Personally, I would return the game and wait until EA is forced to remove the DRM, either from a court decision or in reaction to poor sales.
NegaNova - Yes, it means Service Pack 1 or higher.