AN MLG CREW MISMANAGED THEIR NEW FANCY FMC AND GUIDANCE SYS TO THE POINT THAT THEY MAY HAVE VIOLATED A RESTRICTED AREA.

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DEP CLRNC STATED 'FLY THE DCA 328 DEG RADIAL FOR VECTORS.' I PROGRAMMED THE MCDU AND BUILT A FIX AFTER THE DCA ARPT ON THE 328 DEG RADIAL AT 20 MI. THE FLT PLAN THEN HAD A DISCONTINUITY BTWN THAT FIX (PBD04; IN THIS CASE) AND THE FIRST FIX ON THE AIRWAY. I TOOK OFF IN MANAGED NAV AND ARC MODE. IMMEDIATELY AFTER LIFTOFF; THE 'TO' POINT (PBD04) DISAPPEARED FROM MY MAP AND DROPPED OUT OF THE FMGC. I HAD HAND-TUNED THE DCA VOR AND THE 328 DEG RADIAL ON THE NAV RAD PAGE BEFORE DEP AND SWITCHED TO ROSE VOR MODE ON MY NAV DISPLAY. BY THAT TIME; I WAS ALREADY E OF THE 328 DEG RADIAL AND UNCERTAIN AT THIS POINT WHETHER A RESTR ZONE WAS ACTUALLY VIOLATED. I CORRECTED L (W) TO INTERCEPT THE RADIAL. THE FO AND I HAD HAD SOME BRIEF AND HARRIED DISCUSSION ABOUT THE DISAPPEARANCE OF THE COURSE; AND HE SAID 'I'LL FIX IT.' HE PROGRAMMED THE FMGC TO GO DIRECT TO PBD04 (INCORRECT; BUT I DIDN'T SEE WHAT HE WAS DOING; AND HE DIDN'T TELL ME) AND REACHED OVER AND SWITCHED MY NAV DISPLAY TO ARC; THEREBY WIPING OUT THE ONLY FORM OF NAV WE ACTUALLY HAD AT THAT POINT. I SWITCHED BACK TO VOR AND; FOR SOME REASON; DIDN'T HAVE A CDI. I SWITCHED OUT OF VOR; BACK AGAIN; AND THE CDI REAPPEARED; INDICATING THAT WE WERE CONSIDERABLY W OF COURSE BY THAT TIME. ATC ASKED US WHERE WE WERE GOING (GOOD QUESTION) AND I TOLD THE FO TO TELL THEM WE HAD LOST OUR PRIMARY NAV. THE CTLR GAVE US A HDG OF 330 DEG AND A HDOF TO CTR. NOTHING FURTHER WAS SAID BY ATC ABOUT THE OCCURRENCE.