The "permission denied" error for the logs is exactly that, the user you are running the servers as does not have permission to write to the /var/log/aolserver4 directory.
The server runs as 'nsd' so you need to look for that in ps ax. You can see if its listening on port 80 (&443) by using netstat -lpnt this will also show you if Postgresql is listening on 5432.
- Steve