Hi Patrick,
If the power reserve runs out and the watch stops, "getting it up again" for me is just a matter of using the "normal adjust", turning the crown and moving the hour and minute hands forward until the correct date, day and time is reached - I tend not to use the quick-adjust mechanism to avoid potential problems. As you may have read, if you overshoot the date month year, you cannot "move the clock back" - only a skilled watchmaker should do that, in other words the IWC Service Center. The alternative is to let the power run out, and the watch stop, and then let real actual time catch up with the future date/mth/year captured in the watch.
The moon phase is already pre-set - and I believe according to the exact date (rather time in perpetuity), per the movement mechanism. This can give u an idea

Analogue date displays with hands have a long tradition in IWC watches featuring perpetual calendars. In the case of the Portuguese Perpetual Calendar, for instance, the date, day and month are to be found on three subdials and, thanks to the clear layout, are extremely easy to read. The classic moon phase display – whether a single moon, or a double one for the northern and southern hemispheres – is based on discs and is usually found at “12 o’clock”. The moon phase displays used in the Grande Complication and the Da Vinci Perpetual Calendar Edition Kurt Klaus are astonishingly accurate and deviate by just 0.002 percent, or one day, after 122 years. The Portuguese Perpetual Calendar is even more precise. Larger moon phase wheels with different numbers of teeth reduce the deviation so drastically that a future inheritor of the watch would theoretically need to take it to a watchmaker to have it adjusted by only one day in 577.5 years.