Hi, guys! First of all, let me clarify that there are a few IP addresses your LAN has:
first, the IP address (static or dynamic) of your connection to Internet, which is where your modem (cable, phone or DSL) connects to.
Second, your modem's IP address, which your router connects to....
Third, your router's IP address, which the PPC or PC connects to,
and finally, your PC's or PPC's address, which the router sents info to.
Sometimes, the modem uses the same IP address as the dynamic or static address you've been assigned...
Now as to why we can or cannot connect, well it is kind of complex because of all the different settings. To this I simply say: if your PPC can connect to anyone else, you know that your PPC is OK...

If your PPC can't even detect and connect to the Starbucks T-Mobile sign in page.... then you've got problems at your end.
Sometimes the problem is in the router... my home WiFi router, for example, gets hung up every so often.... it works OK after a reset, but at least once a week my family complains that "The Internet is down"... I suspect that my wife's Mac Ibook is the culprit, since it also hangs my print server, but my wife insists that she is innocent!
Take care................ Manny