

Come on PP what is that all about?Congratulations! I wonder what kind of fool would have sold that beauty to you!
Moonphase correction is the pusher between 6:00 and 7:00. The leap year indicator is correctly pointing to 2, it is the chrono minute counter that is pointing straight up. It is also recommended to wind the watch at the same time every day, preferably in the morning, but I'm not sure why.
Wishing you perpetual bliss!
Steve
You should not adjust the moonphase between 09.00-11.00 hrs as this is the natural time that the movement adjust the moonphase.
And like has already been mentioned, visit the Patek website for the moonphase settings.
And I can't see it being any different, for your gorgeous 5970P
Congratulations and enjoy many decades of pleasure.