Yes, all M645 lenses will fit and operate stopped down, but whether they are practical to use probably depends on what type of shooting you do.
I use a couple of the M645 lenses (55/2.8 & 210/4) on my ZD and for landscape photography I find them very useable. It could be a different story for something like weddings, for example.
The AF lenses are pretty cheap second hand, but the manual focus ones are extremely cheap. I believe that the optical design of the N (new) series manual focus lenses is the same as the AF equivalents. The 'C' series are older and are generally not as good as the later 'N' series.
Hope you enjoy your new rig.