ALT XING RESTR OVERSHOT BY A FLC IN A B737-300 ON DYLIN PROFILE DSCNT INTO EWR; NJ.

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ON DYLIN PROFILE DSCNT; 100+ KT TAILWIND; ACFT GOT HIGH WITH VNAV DISCONNECT. FIRST 2 XING RESTRS ARE 'ABOVE' AN ALT; THEN 11000-13000 FT. IN THE DIVE TRYING TO GET BACK ON PROFILE GOT A VFR NAVAJO AT 10500 FT. GOT A TCASII ALERT; SLOWED THE DSCNT. AFTER TFC PASSED; HIT VNAV AGAIN. IT MUST HAVE WENT TO SPEED. I HAD THE 8000 FT BOTTOM OF DSCNT SET SO THE ACFT WENT TO 8000 FT AND CROSSED THE 11000-13000 FT RESTR AT 10300 FT WHILE I WAS TRYING TO SMOOTHLY STOP THE DSCNT. CTR DIDN'T VOICE ANY CONCERNS. THE TCASII ALERT TOOK MY MIND OFF THE PROFILE. WHEN IN ATL; THE FO ASKED IF I'D FLOWN THIS APCH/ARR BEFORE BECAUSE HE NEARLY GOT BURNED. I HAD BUT DIDN'T REMEMBER ANY PROBS. I GOT HIGH WITH TAILWIND. VNAV DISCONNECTED; CTR WANTED 310 KTS OR GREATER WITH A 100+ KT TAILWIND. I SHOULD HAVE SET 11000 FT VERSUS THE 8000 FT; AND NOT RELIED ON THE AUTOMATION. RECOMMENDED IMPROVEMENT: PUT OUT A BULLETIN ON THE 'AT OR ABOVE XINGS TO A HARD ALT AT 8000 FT. YOU CAN CROSS 13000 FT WITH 13 MI TO SLOW AND GET TO 8000 FT. THE VNAV CAN'T DO IT; ESPECIALLY WITH A TAILWIND. SUPPLEMENTAL INFO FROM ACN 540180: PF DECIDED TO LET VNAV HANDLE THE LEVELOFFS. I MENTIONED TO CAPT THAT I HAD BEEN 'BURNED' BY DOING THAT ON THIS ARR. WHILE LOOKING FOR THE TFC; THE ACFT HAD A VNAV DISCONNECT (TAILWIND/OVERSPD). FAILURE OF PF TO MONITOR AUTOMATION MODE; AND LEVELOFF AT 11000 FT AT SOMTO. FAILURE OF PM TO MONITOR PF; AND TO ALERT HIM TO THE MISSED LEVELOFF IN TIME. NEVER LET VNAV FLY AN ARR; AND EXPECT IT TO HANDLE THE LEVELOFFS.