2002 honda accord car not starting or running rough when

Check what's called the map sensor. Advanced auto parts can help with that.

cHECK OIL LEVEL,IS FULL TO MARK.

Idles rough and quits when gas pedal is pressed less?
http://technoanswers.blogspot.in/2012/01/1999-ford-f-150-idles-rough-and-quits.html
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Rough idle, staling and Erratic shifting?

http://technoanswers.blogspot.in/2012/03/rough-idlestaling-and-erratic-shifting.html

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Its a hot start issue.

Can be related to low fuel pressure or problem with crank sensor.

Also it can be weak battery or starter.

But possibilities are to be inspected to confirm what exactly it is.------

To troubleshoot and confirm the issue,i suggest you refer few solved help links with similar types of problem like yours:------

Click the link below:------

1991 Toyota Trecel: Engine Starts fine but dies when gets Warm?

http://whatisbyme.blogspot.in/2012/05/1991-toyota-trecel-engine-starts-fine.html

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1994 Toyota Pickup: Starts fine but dies in few seconds?

http://howtobyme.blogspot.in/2012/05/1994-toyota-pickup-starts-fine-but-dies.html

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1995 Lexus LS400: Running Hot?

http://whatisbyme.blogspot.in/2012/05/1995-lexus-ls400-running-hot.html

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2002 Toyota Camry: Puff of Blue or White Smoke while Starting?

http://whatisbyme.blogspot.in/2012/05/2002-toyota-camry-puff-of-blue-or-white.html

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Multiple problems on car: Car runs hot, A/C blows hot and car starts surging?

http://schematicsdiagram.blogspot.in/2012/04/multiple-problems-on-car-car-runs-hotac.html

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Delay starting on Toyota Prius?

http://schematicsdiagram.blogspot.in/2012/02/delay-starting-on-toyota-prius.html

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Honda car will not start intermittently?

http://technoanswers.blogspot.in/2012/02/honda-car-will-not-start-intermittently.html

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Vehicle Starts, Runs and Loses Power

http://whoisbyme.blogspot.in/2012/07/vehicle-startsruns-and-loses-power.html

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Intermittent starting issues on Volvo 760?

http://schematicsdiagram.blogspot.in/2012/02/intermittent-starting-issues-on-volvo.html

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Car starts and cuts off immediately?

http://repairhelpcenter.blogspot.com/2012/01/car-starts-and-cuts-off-immediately.html

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Car won't start when cold?

http://schematicsdiagram.blogspot.com/2011/12/car-wont-start-when-cold.html

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These details will help.

Thanks.

Sounds like either a blown motor (rings need replaced) or a bad head gasket or cracked head.
If the rings are bad your car would have felt like it was losing power because the engine will no longer have the same high compression that it's required to turn the wheels. You may have heard your engine knocking or seen a light blue colored smoke coming from your exhaust as a result of your engine burning up oil in the combustion chamber from the rings leaking.
If your head gasket is leaking or your head is cracked you'd likely find milky looking oil when you drain your oil from water/antifreeze being mixed in and noticed a white smoke coming from your exhaust that is actually water vapor coming through the exhaust.
If your car was running rough when you last shut it off try pulling all of your spark plugs and either cleaning them or replacing them all. A bad head gasket or bad rings can both foul spark plugs. A car will run rough with 1 or 2 fouled plugs, but once enough foul it will no longer run at all just sit and crank over. If changing the plugs get's it started for ya, check your tailpipe first for water, if nothing, change your oil. If no signs of water/antifreeze or milky colored oil then it's probably rings.

check the engine coolant temp sensor under the distibutor. they can go bad and cause longer starting times and rough running until the car warms up.

it may be idle control sensor or a bad mas air flow sensor--maf sensor in otherwords. or could be engine misfire at cold temp. start. only time when cold? or does run better when warm? try warming engine to operating temperature before driving,if problem removes it's self after warm up,up grade gas to 93 octane for 1 tank full. then see if problem goes away. it's cold where you are right? if so the fuel needs to be at least midgrade 89 octane fuel because 87 octane fuel will not start your honda correctly at cold temps. in cold weather 93 or super gas octane will start ,no problem,low octane fuel sometimes gels, or freezes at low temps. if in warm climate, change the fuel filter, add fuel injector cleaner to your fuel tank[preferablly lucas fuel treatment] this will lube your fuel injectors and give better fuel mileage. thank you for choosing fixya.com

sticking valves. the short run of the engine free's them enough to enable runnig

try checkin your idle air control. most of the time it is a vacuumn line going into intake.pull it off and if the car revs up dont worry, it wont hurt it. if it does simply put it back on, if it dies you have a bad vacumn.

bad ignition,air flow sensor that keeps leaning out the mix and it stalls,bad iac idle control motor,start with a good tune up.cap rotor,wires plugs air filter and clean the throttle body.some honda cars have bad egr valves and the intake manifold has to come apart because it is plugged up inside with carbon.

seem like you got the same problem as my scion xa, check the fuel pressure regulater. bad regulater some time smell like leak gas. auto zone might cause you about $80.00.