Here are some photos with notes:
1. First, the portafilter:

Seems pretty clean to me, but as you can see parts of the metal have turned a yellowish, brassy color. I don't know whether that is some residue on top of the metal, or some sign that the original metal has eroded. No amount of scrubbing or soaking seems to remove it though (if anything it seems to be spreading). Is this a problem?
2. As seen from the next photo, there is a fair amount of white junk in the shower plate, as well as the screws that attach it to the group body, and that attach the shower screen to it.

3. The actual group body seems a lot cleaner, but there is also some white stuff circling the inner edge where the shower plate attaches:

I'm out of photos, but I also unscrewed the bolt from the shower plate, along with the spring and plastic ball. The bolt also has some white stuff in its threads just like the other screws, as (less so it seems) does the threads of the plastic ball. (the latter I haven't really tried to clean because I'm hesitant to remove the plastic from the spring, and I'm not sure whether I should be soaking the plastic in chemicals.
So . . . I would love someone's diagnosis of how bad this all looks in the great scheme of things. Is it important to clean these parts further? If so, it is possible? Or do I need to start looking at either replacing all of these parts or just buying a new machine.
Many thanks in advance!
Sasha




