You can setup a SNS notification so that everytime there is a delivery bounce or complaint you will get a notification with all the information, the From:, To:, Subject, etc... that you can then process or just receive on a email address to later processing.
Please take a look on how to enable the SES SNS notifications on your addresses/domains on the link below:
http://docs.aws.amazon.com/ses/latest/DeveloperGuide/configure-sns-notifications.html Also, if you are unaware and feel like your AWS Account is being misused, you pause the Sending: https://awscli.amazonaws.com/v2/documentation/api/latest/reference/ses/update-account-sending-enabled.html
Good question! Out of the box, SES Data events like email sends won't be tracked as CloudTrail will record AWS API Management Events.
However, to get more granularity on logging in AWS SES, you can set up more monitoring such as CloudWatch: https://docs.aws.amazon.com/ses/latest/dg/event-publishing-retrieving-cloudwatch.html including event publishing and retrieving.
Check out details here on what's included when you retrieve that information: https://docs.aws.amazon.com/ses/latest/dg/working-with-event-data.html which can include data including the top-level JSON object contains an eventType string, a mail object, and either a Bounce, Complaint, Delivery, Send, Reject, Open, Click, Rendering Failure, or DeliveryDelay object, depending on the type of event.
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