You can check by following steps:
Step1, use telnet check the port is opening, open a cmd window type,
telnet localhost 3389
if telnet can connect( goes to a black screen), means Windows Terminal Services is up, close the cmd window. If it shows connect failed. Check your configuration. This link may help you,
http://www.windowsnetworking.com/articles_tutorials/Windows_2003_Terminal_Services_Part1.html
2. If you can connect by localhost:3389, try to find the 2003 server's IP xxx.xxx.xxx.xxx by ipconfig, try telnet on another computer,
such as,
telnet xxx.xxx.xxx.xxx 3389
if can't connect on it. means firewall. If it can connect; but can't connect by Remote Connection client, check you user's permission on 2003 server
webjabber
A secure path to access your servers.
http://www.gotoservers.com