AN HS125-700 FLC FLYING A CHARTER TO TEB FAILED TO MAINTAIN ALT AS ASSIGNED AND FAILED TO MEET THE ALT XING RESTR AS ASSIGNED BY ZNY ARTCC.

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PROCEEDING INBOUND TO TETERBORO; NJ (TEB); ON THE LVZ3 ARR. WE HAD RECENTLY DEPARTED AVP AND HAD PASSED THE LVZ VOR. PROCEEDING EBOUND AT 8000 FT; THE FO AND I REALIZED THAT WE HAD A MISSET ALTIMETER AND PROCEEDED TO ASK NEW YORK FOR A NEW ALTIMETER SETTING WHICH WAS GIVEN. THE RESULTING SETTING CAUSED AN ALTIMETER ERROR OF -200 FT TO OUR 8000 FT. AT THE SAME TIME NEW YORK ISSUED A XING RESTR FOR 6000 FT AT MUGZY INTXN; PER THE ARR. I PROCEEDED TO ENTER THE XING RESTR INTO THE GNS FMS BOX INSTALLED IN THE ACFT FOR A QUICK CALCULATION OF 600 FPM REQUIRED FOR THE DSCNT FROM OUR PRESENT POS. I FIGURED I WOULD WAIT UNTIL IT READ 1500-2000 FPM PRIOR TO DSCNT. ABOUT THIS TIME THE AUTOPLT OVERSHOT ITS LEVELOFF AT 8000 FT FROM 7800 FT (MISSET ALTIMETER -- ONCE RESET THE AUTOPLT WENT TO CLB BACK TO 8000 FT). I ATTEMPTED A SMOOTH CORRECTION WITH THE PITCH WHEEL DUE TO 2 PAX ON BOARD THE ACFT. THE CORRECTION WAS NOT GOOD ENOUGH AND THE ACFT CONTINUED A SLOW CLB. I DISCONNECTED THE AUTOPLT AND LEVELED THE ACFT MANUALLY AT 8000 FT. ABOUT THIS TIME NEW YORK CALLED AND ASKED IF WE WERE STARTING DOWN TO 6000 FT. I LOOKED AT THE FMS REQUIRED FPM AND IT READ 6000 FPM INCREASING TO 8000 FPM REQUIRED. I RETARDED THE THROTTLES EXTENDED THE AIRBRAKES AND RAPIDLY DSNDED THE ACFT TO MEET THE RESTR NOW 1 MI AWAY. I HAD 2000 FT TO LOSE AND ACCOMPLISHED MOST OF THIS BUT WAS STILL APPROX 800 FT HIGH OVER THE FIX. WE RECEIVED A NEW FREQ AND MADE NORMAL CONTACT. NO ATC QUESTIONS WERE ASKED AND IT SEEMED NO CONFLICT EXISTED. THE FLT PROCEEDED TO LAND NORMALLY AND SAFELY. I WAS DISTRACTED BY THE AUTOPLT SLIGHT MALFUNCTION COUPLED WITH RELIANCE ON AUTOMATION OF THE FMS TO DO MY THINKING FOR ME AND IN THE PROCESS OF THE DISTR FORGOT ABOUT THE XING RESTR. I THINK BETTER CREW COORD AND PAYING CAREFUL ATTN TO THE ALTIMETER SETTING INITIALLY COULD HAVE PREVENTED THIS.