First thing is to openthe Extension Manager and make sure the plugin is active.
Is this a recent problem, or has it always been this way?
I've started the Extension Manager and it's been stuck on "Loading Extensions" for about 30 minutes. Is it common for it to be this slow?
I've had this problem for awhile, but I didn't have the problem when I first installed CS6.
I've never seen it take more than a few minutes to load. I think you may have a problem.
System restore might be in order, if you can find a restore point you think is before the trouble started. Trashing the prefs (see Replace Your Preferences) might help, too, but you may need to reinistall and run the 8.0.2 update again.
The problem has been around for long enough that I'm hesitant to go back to a restore point, in fear that this might cause other problems. I deleted my InDesign preferences, but it did not solve either the lilo.apln issue or the takes-forever Extension Manager issue. Should I just reinstall InDesign or all of CS6?
I'd probably do the whole thing in your shoes, and run the cleaner tool in between uninstall and reinstall (CS Cleaner Tool for installation problems | CCM, CS6, CS5.5, CS5, CS4, CS3). It might take longer, but the odds are only about 50-50 it will work if you just do ID, so you could actually waste more time that way.
That did it...uninstalled CS6, did the cleaner tool, reinstalled, and updated to 8.0.2. All is well.