The D-Link Airplus G DWL-G510 is a wireless adapter & it allows your computer to connect to a modem/router for access to the internet. The adapter that you have in your PC doesn't have a firewall so that's not the culprit.
Is the other computer with the other D-Link device in another room? Can you go & have a look at it & give me the model number? Then I'll be able to tell you if it has an internal firewall.
Did you try reinstalling LW & if so, does it open now?
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