I’m having a similar problem, with the message:
WP Backup has detected a problem. wp-cron.php is returning a Failure when receiving data from the peer response which could mean cron jobs aren’t getting fired properly. WP Backup relies on wp-cron to run scheduled back ups. See the FAQ for more details.
This shows up on the Manage Backups screen.
I suspect that the host is the issue here but would like confirmation before moving it forward with them..