The "localhost.YYYY-MM-DD.log" files located in "C:\Program Files (x86)\Symantec\LiveUpdate Administrator\tomcat\logs", might be able to give you some indication of what's going on.
You could also attempt access to http://<LUA>:7070/lua/test.htm, and check on the health of the below directory (i.e., that it exists, and that the local system account has rights, etc.):
C:\Program Files (x86)\Symantec\LiveUpdate Administrator\tomcat\webapps\lua
I must admit though, I'd probably just uninstall and reinstall if I were in your position. Takes far less time than troubleshooting the issue.