Hi Eric,
Yeah, the top of the Gicar box looks a bit toasted. Not sure why. We bought it as a used machine, about 2 years ago, and don't know the full history. Looks like an '03 model, judging by the serial number (20031105299), so it was in use for about 4 years before we got it.
Thanks for the link to the relay supplier. I'm OK at soldering big stuff (wires, plumbing...), but when it comes to circuit boards, that's a bit too fine for me. Don't have the dexterity and know-how to do a good job (the actual soldering part is not bad, it's getting rid of the old solder and opening up the holes in the circuit board for the new pins that's tricky for me....that, and I've overheated a board or two....

). At this point, I don't have the time to fuss with it, nor the confidence that I will actually be able to get it working again. Gotta lump it and pay the bucks, it seems.....sigh....
I just called Faema in Toronto, where the Giotto originally came from. They will install a new Gicar for $300, and for an extra $130 they will fully test the machine and inspect to see if everything else is OK. They have several different models of Gicar in stock, so should have the right one. The service guy was impressed with my knowledge (grounding of sensors, relays clicking....), but I didn't tell him I learned it all here!
Thanks a ton for all your help. Much appreciated!