First thing, replace your spark plug. I would recomend a NGK plug. There is a converter on there website, just type in the code on yours, and it will tell you which one to buy.
Now with one of the main ingreadients out of the way, you will want to clean out your carby. Its easy. unscrew the the fitting on your air filter so you can slide it off. theres 2 screws the hold it onto the manifold, just grab an 8mm spanner or socket and take em out. Then unscrew the cab on the top and take out the slide. Then when you have it apart, theres 2-4 screws on the bottem you can take out to take it apart. There a big float and 2 jets, which a ong skinny cylinder things. Unscrew them and give them a blow out, make sure therenot blocked up. And pour some fuel around the carby to wash it out, just try not to get it on the rubber gasget. *You need this place dirt free*. Put it all back together the way you found it. You mightwant to try and wash out your air filter to, just make sure its 100 dry before it goes back on. If theres any dirt oil or water inside the bowl, it will black the jets from suck up fuel, therefor make your bike choke and stutter.
Theres 2 screws on the side, one is the revs and one is the air/fuel ratio. The rev screw is the one clossest to the sentre of the cylinder that ones fine. Screw the other one in untill its firm, but dont tighten it. Then unscrew it 360 degrees, then a ferther 90 degrees. This will be around the right mixture you want to run, but u can change it within the 90 degree mark in most cases to make it run better.
You also may want to pull the tap off your fuel tank and flush it out, just dont reck the threads on any holes. And if you have a fuel filter, you should replace it if its old.
Check the condition of your coil, which is the plug the goes onto the sparkplug, all the way up to the big cylinder part with 2 wires attached to it. Make sure its in good condition and not melted or split.
Its also worth checking your Valve clearence. They may have hammered them selfs in. Any motorbike mechanic can do this easily, and you can do it your self if you know how, although the internet lacks good guide about it for mini 4 stroke engines.