Q: restrictions password lock out

Forgotten Restrictions Passcode Help

1. iPad,iPod,iPod Touch Recovery Mode
2. About Restrictions (parental controls) on iPhone, iPad, and iPod touch - Apple Support

You will need to restore your device as New to remove a Restrictions passcode. Go through the normal process to restore your device, but when you see the options to restore as New or from a backup, be sure to choose New.

You can restore from a backup if you have one from BEFORE you set the restrictions passcode.

If none of the above work for you, then:

Follow these steps to place your iOS device into recovery mode. If your iOS device is already in recovery mode, you can proceed immediately to step 6.

If you don't see the "Connect to iTunes" screen, try these steps again. If you see the "Connect to iTunes" screen but the device does not appear in iTunes, see this article and its related links.

Restore as new:

https://support.apple.com/en-us/HT201252

You will need to do this in iTunes on a computer. You have to erase the device. Don't back up, because you will not be able to use the backup. iCllid will not work unless you do not have Find my iPhone turned on.

Use iTunes on your Mac or PC to restore your iPhone, iPad, or iPod to factory settings - Apple Support

If that will not work, use recovery mode.

If you can't update or restore your iPhone, iPad, or iPod touch - Apple Support

If you set up your iCloud account on the phone, contacts, calendars, etc. that were synced with iCloud will sync back to the phone. Do NOT attempt to restore your iCloud backup. Doing so will result in putting the restrictions back the way they were before you started.

As Demo said "Don't back up, because you will not be able to use the backup."  But if you want the instructions here they are:

Get help backing up your device in iCloud - Apple Support

Restore your device from an iCloud or iTunes backup - Apple Support

See the section:

Restore from an iCloud backup to a device you already set up

The only way to restore from an iCloud backup is through the Setup Assistant. To get to the Setup Assistant on a device you already set up, you'll need to erase all the content on your device and set it up again.

Just follow the instructions on what to do from the cited articles or the steps to restore using DFU. It's pretty simple to do. You cannot restore any backup unless the backup was made BEFORE you created the restriction code. You can re-sync all your other data. Just don't restore any recent backup or the restriction code will simple be restored with the backup.

I would like to restore my photos, music etc from the iCloud or iTunes? I backed up in iCloud prior to erasing everything ....?

This you cannot do. The entire device will be erased. You cannot selectively choose what to erase and what to leave.