Hey, Phil-
Genuinely appreciate your quick response. Yep, I was able to activate my second computer and I downloaded the license manager. I even tried the service monkey thing, and I guess that's only for hardware. Here's what I think must have happened -- when I originally purchased Pod Farm and the Metal Pack three years ago, I must have been sent an installer via email because, again, there is no means of installing anything from my Line 6 user page, and I would had to have installed them on my original computer somehow. I guess I could try to contact Line 6 and have them resend the installers (?). I've just gone through this process with all my Native Instruments stuff and other plug-ins with ABSOLUTELY no problem.
This whole thing is very odd, and it officially just became too much trouble. I have Guitar Rig installed so I can just use that, it just would be nice to have the option of using Pod Farm as well. Especially since it says right there that I do, in fact, own it. Hmmm.