FATIGUED FROM LACK OF SLEEP AND DISTR BY INDUSTRY FINANCIAL PROBS; FLT CREW OF B717 FAIL TO UTILIZE APPROPRIATE CHKLISTS FOLLOWING AN ENG FAILURE TO START EVENT. TAILPIPE FIRE ENSUES WHEN IGNITION IS TURNED ON.

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WE RECEIVED THE CLRED TO START SIGNAL FROM THE TUG DRIVER DURING PUSHBACK. I INITIATED THE ENG START PROC FOR THE R ENG BY OPENING THE START VALVE AND TURNING ON THE FUEL AT THE APPROPRIATE N2. WHEN NO EGT RISE OCCURRED; I RECOGNIZED WE HAD NOT DONE THE BEFORE START CHKLIST AS THE IGNITION SWITCH WAS OFF. I ABORTED THE START BY CLOSING THE START VALVE. I DID NOT SHUT OFF THE FUEL; NOR DID I CALL FOR THE UNSATISFACTORY START CHKLIST. CONSEQUENTLY; THE FUEL CTL REMAINED ON. I CALLED FOR THE BEFORE START CHKLIST SO WE COULD START THE L ENG AND ALLOW THE R ENG TO WIND DOWN. DURING THE BEFORE START CHK; THE IGNITION WAS TURNED ON. WHEN THE IGNITION SWITCH IS ON; IGNITORS ACTIVATE IF THE FUEL CTL IS ON. THE FUEL CTL FOR THE R ENG WAS ON BECAUSE I DID NOT ABORT THE START PROPERLY. WE STARTED THE L ENG NORMALLY; BUT DURING THAT TIME THE R ENG DEVELOPED A TAILPIPE FIRE. WE WERE NOTIFIED BY AN ACFT BEHIND US THAT THE R ENG WAS ON FIRE. THERE WAS A MOMENT OF HESITATION BECAUSE WE KNEW WE HAD ABORTED THE R ENG START. IT WAS THEN THAT WE NOTICED THE R FUEL CTL WAS 'ON' AND THE EGT WAS ABOVE THE RED LINE. I IMMEDIATELY TURNED THE FUEL CTL OFF AND BROADCAST OVER GND CTL ASKING IF WE WERE STILL ON FIRE. I SHOULD HAVE CALLED FOR THE TAILPIPE FIRE CHKLIST AS THERE WERE NO FIRE WARNINGS IN THE COCKPIT. I DID NOT. REPLIES OVER THE RADIO SAID WE WERE STILL ON FIRE; SO I CALLED FOR THE ENG FIRE ON THE GND CHKLIST; WHICH WE ACCOMPLISHED. AT THIS POINT THE CFR VEHICLES ARRIVED AND SPRAYED THE ENG AREA. I MADE AN ANNOUNCEMENT TO THE PAX THAT WE HAD AN ENG FIRE DURING ENG START; THAT THE FIRE WAS EXTINGUISHED; THERE WAS NO CAUSE FOR ALARM; AND TO REMAIN SEATED. AFTER CONFERRING WITH MAINT AND CFR; WE REMOVED ALL PWR FROM THE ACFT AND WERE TOWED BACK TO THE GATE. FACTORS AFFECTING MY PERFORMANCE THAT DAY INCLUDE FATIGUE AND STRESS. I HAD ONLY 5 HRS OF SLEEP THE NIGHT BEFORE THE EVENT; AND 3 HRS THE NIGHT BEFORE THAT. I WAS DEFINITELY FEELING TIRED. THE STRESS OF THE AIRLINE FINANCIAL PROB; DEEP PAY CUTS; WORRYING ABOUT PENSION AND WORK RULE CHANGES WERE ALSO A DISTR. PREVENTING THIS PROB CAN BE SOLVED BY ADDING A STEP TO THE BEFORE START CHKLIST TO CONFIRM THAT THE FUEL CTLS ARE 'OFF.'