As far as I know, "cross country time" is any flight time outside of the circuit.
PIC = Pilot in Command. (P1)
The term "Qualifying Cross Country" is a bit different as that is a 'defined trip'. PPL is 150 nm trip in a single day with two, land away, full stop landings and get your chit signed by ATC at destinations. For the CPL it's 300 nm with two, land away, full stop landings. No chit to get signed for this one.
