Replacing Pilot Bearing, Feeling lost (now found!) Options

[ThinAir]

Looking at the tranny end of my flywheel, I see a smooth surface that looks like a "bushing" rather than a "pilot bearing". Since I've already replaced the input shaft seal, and have once again developed a leak in that area, I decided that I must be missing the pilot bearing and have pulled the transmission and clutch in order to fix this. Now that I've got it apart, I'm not sure if I'm right or how to proceed.

I've purchased the pilot bearing and felt washer, but I'm not sure just how this all goes together.

Is it correct that the pilot bearing and felt washer go into the flywheel from the engine side?
If this is correct, does the felt washer to in first? The pilot bearing "race" looks different on each end - does it matter which way it goes in?
Assuming that I have some kind of bushing currently installed, how do I get it out? (Or are there some flywheels that use only a bushing and not a bearing?)

Any other advice? I don't want to remove the flywheel without a better picture of whether I'm on the right track.

TIA for the help!