Remember, there is no such thing in the FAA as a 'night qualification' as it is encompassed in the basic Private cert.
Correct but the OP has a JAA PPL and wants to do the night qualification whilst in the states, as long as he gets the 5 hours signed by the instructor to include, 3 hours dual, 1 hour dual nav, and 5 take off and full stop landings whilst PIC, the CAA will add it.