If your tires are new, I suggest you get a copy of the warranty card and follow the rotation interval of every 8km and have it stamped by the shop.
The ZE-512s are known to have a shorter treadlife than rated. Mine are rated to 50,000kms and it's already at the wear mark at 31,000kms. And that includes the 10,000km rotation recommended by the shop. Too bad I cannot claim a warranty because it's not every 8,000.
Anyway, I do like these tires and am getting them again. But will follow the warranty card so if they do not live up to their treadwear guarantee I can atleast make a claim.
Regarding tire pressure, what I'd do is start with the recommended psi then draw a chalk line across the tire and see how it wears off after a regular drive.