The "Inbound closed before receiving ..." and "Broken pipe on ..." error messages refer to errors due to the client that aborts the current attempt to establish the SSL connection.

Please, can you confirm that these errors systematically happen every time and on different browsers? Ie you were never able to establish a working SSL connection?
Could you have the chance to run a test using the pre-installed certificate included in the the factory configuration of Lightstreamer server (LS_HOME/conf/myserver.keystore)?