1999 90hp oceanpro running problem

Hi all, Have a very frustrating problem with my outboard. 1999 johnson 90hp oceanpro 2stroke
After i give it a good run sitting on or above 3500rpm for any longer than 10-15minutes and switch it off for upto 45minutes it has trouble starting. Once i get it going and start to accelarate if i can at all it starts to miss fire and stalls after not to long at all. Once stalled wont start for atleast 45minutes then runs fine. Normally doing a quick dash back to the boat ramp. Seems like heats sink to me but not sure what sensors/components this might effect. Any one had the same problem or know any information that might point me in the right direction to get this problem fixed.
Thanks Mitch

Got a model # ??

I have a number for engine family:Y1PXM0105210
I have tried to find a model number but had no luck do you know where i can find this?

Should be on the port side stern bracket. Has it got carbs or is it a Ficht ??

It has carbs, Model no:J90VLSSS

Your model # shows it's a 2000. Get an open air gap spark tester, set it at 7/16" and check the spark when it quits. If it has no spark, go to CDI Electronics.com. They have good trouble shooting procedures.

Will do that. Thanks for your help.