Answer: A and E
Option A is correct
https://docs.aws.amazon.com/Route53/latest/DeveloperGuide/monitoring-health-checks.html
Option B is incorrect because VPC Flow logs are for logging the network traffic going in/coming out of a specific VPC. Route 53 is not a VPC specific service.
Option C is incorrect because Route53 Dashboard is not used for "logging and monitoring". Status of domain registration, lists of domains, etc. are neither metrics (time series of magnitudes with dimensions/units) nor logs (text messages written by applications).
Option D is incorrect because Route 53 does not log directly into AWS S3. However, you can export the CloudWatch or CloudTrail logs into S3.
Option E is correct
https://docs.aws.amazon.com/Route53/latest/DeveloperGuide/logging-using-cloudtrail.html