You’ll need a new connector before you can fix anything. I ordered this new SMD mini USB port from Mouser electronics (Part #538-67503-1020). It’s very nearly the exact same part, down to the ...

Unfortunately it’s not quite as simple as just soldering on a four-wire USB cable. The modem relies on the 3.3V power from the Mini PCI-e slot instead of the 5V from USB. No problem ...