During the legal proceeding the lawyer can request the server logs from AWS directly and then the truth would come to light. 
I am not sure about that, as I do not know their setup. If they just use EC2 or something like that, the logs are saved only on their own server.
But first Megadice needs to prove that you continued to play, what I have not seen so far.
I only have seen code every coder could write with hands. Maybe that is why they needed so long to answer!
Megadice is obligated by Curacao online casino laws to store your betting history for a while and forward it on request.
Where are the server logs?
Here is info about Amazon EC2
Quote
The Amazon EC2 instances in your Elastic Beanstalk environment generate logs that you can view to troubleshoot issues with your application or configuration files. Logs created by the web server, application server, Elastic Beanstalk platform scripts, and AWS CloudFormation are stored locally on individual instances. You can easily retrieve them by using the environment management console or the EB CLI. You can also configure your environment to stream logs to Amazon CloudWatch Logs in real time.