"The wall jack will be wire to another wall jack near my computer where a cable will go from it to my sound card, thus completing the circuit."
The circuit won't be complete without an amplification source, which is the role your subwoofer plays now. You can run wire from the wall jack to another wall jack near your computer, but from there you must run the speaker wire to the amplification source and from there to the computer sound card. You'll need jacks that have 1/4 inch on one end and 1/2 inch on the other to plug into the wall jacks at the speaker end, and probably at the amplifier side, too. I'm not sure of the connections between the amplifier and the speakers in your Creative Lab setup. It's a matter of finding the right size jacks and connecting them properly. But...you'll always have 6 watts of power driving the speaker in this setup. Unless your home office room is the size of the typical work cubicle in an office, you won't have enough power to really fill the room with the sound you probably want, you'll risk damaging your speakers trying to get more sound from them by increasing the volume. And, that's a whole different issue.