To answer your first question there are a couple of ways to stop the current process: the removal of permissions, turning off versioning, turning off events being sent to Amazon EventBridge, or disabling the EventBridge rules that are put in place by AWS Backup. Once you stop your process it might be in a EXPIRED state. If you want to further delete the job at that point you can follow the steps listed in this article: https://docs.aws.amazon.com/aws-backup/latest/devguide/gs-cleanup-resources.html#cleanup-backups .
For your second question I believe what you are looking for is how to restore your bucket from an AWS backup. The step by step process on how to do so is listed here: https://docs.aws.amazon.com/aws-backup/latest/devguide/restoring-s3.html#s3-restore-console .
Subscription filter policy for AWS backup failuresasked 8 months ago
How do i stop a restore job that's running for a week.asked 7 months ago
AWS Backup for S3 is expiringAccepted Answerasked 7 months ago
Cloudfront with a Lambda@Edge pointing to a private S3asked 2 years ago
how do i delete a lambda@edge that isn't attached to a cloudfront?asked 10 months ago
how can i quickly troubleshoot IAM permission for a serviceasked 9 months ago
S3 AWS Backup with a copy actionasked 6 months ago
Processing Job automatically created when I start a training jobasked 2 years ago
Backup Job no tagging snapshotsasked 4 years ago
AWS Backup - S3 failed: access deniedasked 14 days ago