After successfully deploying my asp.net core 2.0 API to AWS, using AWS Toolkit for Visual Studio 2017, I can access my api only by HTTP. HTTPS requests fail with a connection timeout.
So far I've done the following: Setup a Certificate on AWS Certificate Manager which points to my Personal Domain, properly mapped on Route 53. My API runs fine on localhost using a dev-cert and amazon documentation (https://docs.aws.amazon.com/elasticbeanstalk/latest/dg/SSLNET.SingleInstance.html) seems cloudy to me as it refers to S3 and not Certificate Manager.
I've ended up adding a load balancer to my Application, setting the max. intances to 1 and applying the SSL certificate to the Load Balancer.
On the Load Balancer I've set the port 443 as a listener and redirecting to 80 on my API. Then it all worked.