The misalignment of date and day I encountered often, on pictures. My own Pilot's Chrono has it on Saturday. I would like to have such an expensive watch to do this perfectly, but it would take an awful lot of work apparently. I was told that it can be corrected, though. In the end I don't care enough to get it repaired, I will say something about it when a huge service issue comes up.
My Ingenieur Automatic sometimes has a problem to show the date centered after date change, it needs a little push. My Portofino shows this all the time: every morning I wear the watch I pull the crown one position and help the date to get centered. You would almost think IWC has an issue with dates.
The problem with the hour accumulator of the Chrono, well, it didn't work right with me initially, I had to get it repaired. Losing the watch three weeks while it was new was not a terrific experience.
Kind regards,
Paul