How do I go back and pull out old pictures from iCloud that I had before?

If photos were inadvertently deleted from another device, you have 30 days to recover the photos from iCloud. Check the iCloud site to see if the photos can be recovered there. This support article provides more details:

Delete and recover photos and videos on iCloud.com - Apple Support

Enabling iCloud for Photos, Notes, Videos, Reminders, Messages, and more, as depicted in the provided picture, means that if you delete any or all data from one device, it will also be removed from iCloud and all other devices linked to the same Apple ID. Likewise, the reverse is true as well.