I'm not experienced with AWS, but getting the server running on AWS I think it requires many things as the Data Server application, which is the application responsible for data management and data processing, could not be compatible with AWS because this is supposed to run under ODBC, not directly on the SQL Server.
The Data Servers can run remotely, separated from the SQL Server host machine, but you still need to connect to it, using ODBC drivers, where your SQL Server host is.
Most likely running on AWS is not really an option without modifying the entire Data Server source code to support a connection to a AWS virtual machine, also there's a possibility that many things from the database, such as stored procedures, triggers, etc., could not be supported by AWS.