ACFT EQUIP PROB. ENG HOT START. FLC TURNED ACFT INTO THE WIND AND RESTARTED; BUT FAILED TO COMPLETE THE 'HOT START' EMER CHKLIST. HAD THEY DONE THAT CHKLIST; THEY WOULD HAVE NOTED THE REQUIREMENT TO CONTACT MAINT AFTER A HOT START.

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SHOWED UP AT ACFT 30 MINS PRIOR TO DEP. ACFT HAD MAINT AND WE TOOK A 25 MIN DELAY OUT OF PIT. TEMP ON THE RAMP AT PIT WAS ABOUT 80 DEGS F WITH THE COCKPIT AND CABIN TEMP RUNNING 34 DEGS AND 32 DEGS C; RESPECTIVELY. APU WAS INOP SO THERE WAS NO GND COOLING. UPON ENG START; THE L ENG DID NOT HAVE LIGHT OFF SO WE ABORTED THE START UTILIZING THE REQUIRED MEMORY ITEMS. SECOND START WAS OK. ON TAXI OUT; I CHKED THE CABIN AND COCKPIT TEMP; WITH THE CABIN COOLING DOWN NORMALLY BUT THE COCKPIT TEMP WAS STILL 31 DEGS C -- MUCH HIGHER THAN NORMAL. INFLT; CREW DECIDED TO BOARD PEOPLE AT TOL WITH R ENG RUNNING WHICH IS NOT A NORMAL PROC. REVIEWED THE CHKLIST AND COORDINATED WITH FLT AND GND CREWS AS REQUIRED. DEPARTING TOL; WE STARTED THE R ENG USING A GND PWR UNIT (GPU) AS PLANNED; BUT ITS PWR WAS INSUFFICIENT FOR OUR ACFT AND IT DUMPED OUR DISPLAY UNITS. WENT TO ABORT START; BUT INDICATIONS CAME BACK AND ENG INDICATIONS WERE WITHIN LIMITS. BOARDED PAX AND STARTED L ENG. DURING START; I NOTICED IT WAS RISING RAPIDLY; MOST LIKELY DUE TO STRONG WIND (20-25 KTS) UP THE TAILPIPE. I CALLED FOR ABORT AND NOTICED CAPT WAS ALREADY IN THE PROCESS OF SHUTTING DOWN THE ENG. HOWEVER; THE CONDITION LEVER BOUND UP AND THE ENG OVERTEMPED. WE DECIDED TO TURN ACFT INTO THE WIND; AND SECOND ENG START WAS NORMAL. UPON RETURN TO PIT; CAPT RPTED PROB TO MAINT. THE PROB IS WE FAILED TO REFER TO THE 'HOT START' EMER CHKLIST IN TOL. THIS CHKLIST REQUIRES WE CONTACT MAINT AFTER A HOT START. LOOKING BACK; THIS WAS PURELY POOR JUDGEMENT ON BOTH FLC. A CONTRIBUTING FACTOR WAS THE HIGH HEAT IN THE COCKPIT. THE ACFT HAD NO APU AND THE COCKPIT PACK WAS NOT WORKING NORMALLY. COMBINE THIS WITH A GLASS COCKPIT AND FLYING INTO THE SUN AND WE WERE SUBJECTED TO POOR CONDITIONS FOR OVER 2 HRS. I FEEL THIS AFFECTED OUR JUDGEMENT; ALTHOUGH BOTH CREW MEMBERS WERE EXPERIENCED AND SHOULD HAVE PERFORMED BETTER. THE LESSON LEARNED HERE IS FOLLOW ESTABLISHED PROCS; ESPECIALLY UNDER POOR CONDITIONS.