Correct options:
Use separate Amazon EBS volumes for the operating system and your data, even though root volume persistence feature is available
As a best practice, AWS recommends the use of separate Amazon EBS volumes for the operating system and your data. This ensures that the volume with your data persists even after instance termination or any issues to the operating system.
EBS snapshots only capture data that has been written to your Amazon EBS volume, which might exclude any data that has been locally cached by your application or operating system
Snapshots only capture data that has been written to your Amazon EBS volume, which might exclude any data that has been locally cached by your application or OS. To ensure consistent snapshots on volumes attached to an instance, AWS recommends detaching the volume cleanly, issuing the snapshot command, and then reattaching the volume. For Amazon EBS volumes that serve as root devices, AWS recommends shutting down the machine to take a clean snapshot.
By default, data on a non-root EBS volume is preserved even if the instance is shutdown or terminated
By default, when you attach a non-root EBS volume to an instance, its DeleteOnTermination attribute is set to false. Therefore, the default is to preserve these volumes. After the instance terminates, you can take a snapshot of the preserved volume or attach it to another instance. You must delete a volume to avoid incurring further charges.
Incorrect options:
Data stored in the instance store is preserved when you stop or terminate your instance. However, data is lost when you hibernate the instance. Configure EBS volumes or have a backup plan to avoid using critical data to this behavior - Data stored in instance store is lost when you stop, hibernate or terminate the instance.
EBS encryption does not support boot volumes - EBS volumes used as root devices can be encrypted without any issue.
Snapshots of EBS volumes, stored on Amazon S3, can be accessed using Amazon S3 APIs - This is incorrect. Snapshots are only available through the Amazon EC2 API.
References:
https://docs.aws.amazon.com/AWSEC2/latest/UserGuide/ec2-best-practices.html
https://aws.amazon.com/ebs/faqs/