I passed my skills test on May 19th
Well done mate!
I'm in the same situation as you at the moment. Here's what I was told.
I flew with my CFI a few days after my skills test and was told to log the flight as P1 (S). Until my licence arrives, I cannot fly with passengers.
I can fly solo anytime an instructor is present at my club (as technically I'm still flying under my instructors' licence
), again, until the licence arrives - and claim that solo time as P1.
Although, instructors at my club have been wrong before!
Hope that helps,
AV8