Do you have a Haynes manual? Get one as you will need it.
Yes to take off the flywheel you must remove the bolt (not nut) holding it in place. Also you must remove the key washer underneath the bolt. Then install the puller and pull the flywheel off, making sure the keyway slot in the end of the crankshaft tail is horizontal as you do so.
What you see inside the housing in your case
is a pressure plate (and spring). The other photo you have posted shows a spring cover, not a pressure plate. Yours is a Verto / Valoe type clutch, the other photo show a pre-Verto type clutch. They are different systems with completely different parts. On a pre-Verto clutch the pressure plate is behind the flywheel as you look at it, on yours it's outside the flywheel.
Edited by Dan, 15 April 2009 - 04:17 PM.