The holder in due course requirement gives three requirements for a holder to be a holder in due course, value, good faith, and no notice. Assuming that P took checks for value, then the only issues that remains is whether P had taken in good faith, and had no notice that D$$s check are overdue, dishonored, or other disputes on it$.$ It wouldn$$t matter if the check was postdated or P was aware of D$$s financial situation. However, P should not take checks that they deem suspicious as that would be in bad faith and if P is a regular business partner or employee of D$,$ P might be prevented from being a holder in due course due to having too close connection with D$,$ the close connection doctrine.