Are you facing PS4 CE-30002-5 error code while attempting to use a game stored on an external hard drive, please format the external HDD and try installing the content again.
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When you have received CE-30002-5 error code while updating the system software, please follow the steps below:
1. On your PS4 system, go to [Notifications] and delete any update notifications.
2. Turn off your PS4 system.
3. Hold the power button until you hear 2 beeps; one immediately and one 7 seconds later. Your PS4 will now boot in Safe Mode.
4. Connect your DS4 controller with a USB cable and press the PS button.
5. Select option 3: "Update System Software" and then "Update using Internet".
6. If the error persists, select option 5: "Rebuild Database" and try again.
If the steps above do not solve the issue, you may need to perform a new installation of the PS4 system software. This will delete any data from the PS4 system, so make sure you back up your save data to a USB storage device beforehand. Please visit the PS4 System Software page for further instructions.