Can be logged as p1, p.u/t or p1/s:
NO - You are Pu/t
You are not allowed to carry passengers because you do not have the required currency.
You cannot be P1 with someone else on board (whether under supervision or not).
You could easily be P1 flying solo for three landings, then stop and pick up the passengers. There was no implication that you'd be carrying passengers while flying the three take off and landings that you need in order to carry passengers