No. Once you delete someone on Snapchat, they generally can't see your story. Snapchat privacy settings are designed to restrict access for non - friends.
Generally, it's quite difficult to recover a deleted Snap story. Snapchat is designed to have ephemeral content, and once it's deleted, it's often gone for good. However, you could check if there are any auto-save or cloud backup options associated with your account.
In most cases, if they delete you, they won't be able to see your Snap story. Snapchat's privacy settings are designed to prevent that. But it's always best to double-check the app's specific terms and conditions.
There could be a few reasons. It might be that they have restricted notifications for snap stories, or their internet connection is bad and not loading it properly. Also, if your story was set to private and they're not on the approved list, they won't be able to see it.
Yes, they can. Snap provides certain analytics that show who has shared a story. So if you share someone's Snap story, there's a chance they can find out through the app's features.