If you can find those hacking tools then your SysAdmin isn't worth his money.
See, there is a marginal difference between outgoing and incoming connections in firewall policity. So, first you have to figure out if these open ports are open for outgoing or incoming connections.
A server process is listening for incoming connections on a dedicated port, while a client process is making outgoing connections from some randomly choosen port (out of a dedicated range) to that server port. So, trying to connect to a server with an other port (as in router.limewire.com:8080) will always fail.
So, first tell us whether your open ports are for outgoing or incoming connections, then we will see.