I am trying to reproduce your issue, but in my case, Eclipse Che works correctly.
You have the corrects ports open in AWS and in your proxy? The default configuration is:
SSH tcp 22 - 22 0.0.0.0/0
HTTP tcp 80 - 80 0.0.0.0/0
HTTPS tcp 443 - 443 0.0.0.0/0
tcp 32768 - 61000 0.0.0.0/0
I followed the defaults steps on AWS Marketplace and it's working. My configuration is:
4.7.2-1-r27 on Ubuntu 14.04.3, released 10/28/2016
I hope this information is useful for you. If you have any other question, please do not hesitate to let us know.
Carlos R. Hernández