Does it even have WiFi? My Verizon USB (720 EVDO) is strictly cellular, meaning yeah, I could set it up to see my network, but I would have to put a "hole" in my router for it to get through from the outside, and with constantly changing ip addresses (even sitting still), it's not very "friendly". If that has WiFi, it's simple. If it doesn't, then it's not.
As for the computer losing it, mine does every once in a blue moon, but most of the time, it remembers where it is, and once computer is booted, I'm automatically on the internet.
My solution was to put an internal wireless card inside the computer (mini-pci), then I have a wireless router directly over my car when I pull into the garage. It links automatically with all computers/printers in the house and becomes part of the hub.