Welcome aboard. Did the Eureka electronic ignition work properly when you first bought the motorcycle? Electronic ignitions need a really good battery. A weak or old battery will usually cause them, especially a very cheap one like the Eureka, to run too far "advanced", which will cause kickbacks and poor running if you do get it started at all. Do you have or can you borrow or purchase an electrical multi-meter to check the battery's voltage? Multi-meters are useful and not expensive. If the battery voltage at its terminals with ignition off is below 12.5 volts after the bike has not run for several hours or more, then you may need to charge or perhaps replace the battery. Determining your battery's condition and correcting or replacing it, if necessary, should be your first step in diagnosing and solving your Bullet's problem.
I will wait until you report a voltage reading for the battery before commenting further.