H25A FLT CREW HAS ALTDEV ON TEB SID DUE TO DME NOT DISPLAYED.

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TEB 5 DEP; RWY 24. WE BRIEFED THE DEP PRIOR TO TKOF. SID READS CLB RWY HDG UNTIL LEAVING 800 FT THEN TURN R HDG 280 DEGS; DME EQUIPPED ACFT; MAINTAIN 1500 FT UNTIL PASSING 4.5 DME THEN CLB AND MAINTAIN 2000 FT. AFTER OUR INITIAL TURN AND LEVELING OFF AT 1500 FT PER THE SID; THE PNF SELECTED 2000 FT IN THE ALT PRESELECT. TWR ADVISED US TO CONTACT DEP. CHKING IN AND NOTICING THE AIRPLANE WAS CLBING OUT OF 1500 FT FOR 2000 FT WE WERE TOLD NEGATIVE; MAINTAIN 1500 FT PER THE SID. AS WE ARRESTED OUR ASCENT; WE WERE GIVEN ANOTHER HDG AND CLRED TO A HIGHER ALT. MY HEAD WAS DOWN TRYING TO TROUBLESHOOT WHY DME WAS NOT DISPLAYED AND DURING THE FREQ CHANGE AND AS THE ACFT WAS CLBING I CHKED IN 1500 FT FOR 2000 FT WE RECYCLED THE RADIOS AND THEN DME WAS THEN DISPLAYED. PNJ PATTERSON NDB WAS SELECTED AND IDENTED AS A BACKUP FOR NON DME ACFT BUT NEITHER RMI'S WERE SELECTED TO DISPLAY THE NDB RADIAL. TCAS WAS DISPLAYED DURING THE INCIDENT AND NO TA'S OR RA'S WERE OBSERVED. I BELIEVE CRM WAS AN ISSUE. PNF AND THE PF SHOULD HAVE VERIFIED THE DME WAS DISPLAYED PRIOR TO DEP AND THE NDB ALSO AS A BACKUP.