Does APEX 2.0 should work with Database Server 10.2.0.3 ?It should work.
When using APEX listener 2.0 (standalone or glassfish) there is blank page in browser. Sometimes after restart login page appears , then blank.This is usually the case when your static contents for APEX ("images") is not referenced properly.
But all things work well with listener version 184.108.40.206.00.12 , except RESTFul services.Depending on how you've deployed AL 1.1.4, you might have to do some things a little different with APEX Listener 2. Please either have a look at the APEX 2 Installation Guide concerning your GlassFish deployment (section [url http://docs.oracle.com/cd/E37099_01/doc/doc.20/e25066/install.htm#CHDIIIGA]Create the Web Archive for Oracle Application Express Images) or run
to see the information about start options in Standalone Mode. For instance, the command line option to pass in the path to your apex images changed from APEX Listener 1.1. To do that, you'd now call
java -jar apex.war help standalone
(possibly along with additional start options)...
java -jar apex.war standalone --apex-images /usr/local/apex/images