I successfully installed OAS 10.1.3.3 and patched to 10.1.3.4. http://localhost:7777 gave the OAS welcome page, but going to http://localhost:7777/em gave 404 Not Found.
In [OASHome]/j2ee/home/config/servers.xml search for ascontrol, you should get:
change the start attribute to true
Restart OAS ([OAShome]/opmn/bin/opmnctl restartproc) and Enterprise Manager should now be available