Small Engine Troubleshooting Problems? Ask a Mechanic Now.
Welcome to JUST ANSWER small engines, let me try to help you !! I don't know it all, but maybe together we can get you a satisfactory answer!
When you use booster cable to jump, where are you connecting the cables? Direct to the battery? When you turn key on and off, do you hear the fuel solenoid click? Do you have a voltmeter to check the unit?
I see question is still open, did you find the problem?