This seems to have worked.
What I did:
- Download the crt of the root CA and save as c:\temp\rootca.crt
 - Create a secret in the awxtest namespace: 
kubectl create secret generic awx-custom-certs --from-file=bundle-ca.crt=c:\temp\rootca.crt -n awxtest - Update the 
awx.yamlfile by addingbundle_cacert_secret: awx-custom-certsto the spec. - Redeploy: 
kubectl apply -f awx.yaml -n awxtest - Restart the task and web pods: 
kubectl rollout restart deployment awxtest-web -n awxtest(and the same fordeployment awxtest-task) 
As for logging: I found out that the API (https://awx.host/api/v2/notifications/) showed the error.