Thank you for your update
Your IP set up is different but not totally dissimilar to that of ours in the UK, mine for example would require me to input an SSID password on initial install, this is provided by the IP and usually in the form of a credit card sized document, your equivalent is a passphrase.
But still I couldn't figure out why its not taking in the inbuilt LAN-Express AS IEEE 802.11g PCI adapter.
Your computer will not do both, I for example have an onboard Marvel Yukon network adapter on a desktop but use a Belkin wireless dongle to connect as it is more efficient, the add on adapter automatically overides the onboard card in this instance, another example of this would be if you were connected to a telephone (ethernet) line, as these are permanently available it would activate before your wireless function and so disable it.
If you by chance have further issues check the status of your card in the Device Manager, go to Start, Control Panel, Device Manager then network adapters, check the status of the intended device and if there is a problem you may get either a yellow ! or a red X.
I hope that the above is the information that you require but if not please let us know.