Nate sounds right. With the fuel left on, and the float needle not sealing raw fuel ran into the engine. That is why it's running crappy. Cleaning out the carb, and resetting the float should cure this. You can get info on float adjustment on Jag's site under tune up tips. I believe. there is also info on you tube for the carb..
The plug looks lean to me being gray. moving the clip up will make this worse. A chocolate or root beer brown is what you want. The lean condition may be helped some by getting the exhaust to seal better. The leak looks excessive for only 25 miles, and could be allowing air into the cylinder causing lean condition.
Step 1. Clean carb and set float level.
Step 2. Get exhaust to seal better.
Step 3. ride and see if plug color has changed. If still gray move clip down 1 notch, and repeat test.
I also noticed that the exhaust studs seem to be sticking out farther than most I've seen. Make sure they are ran all the way in, or you risk pulling the threads out of the cylinder. You can run them in by putting two nuts on the stud, and tightening them together. Snug is good don't over do it. Glad to hear you finally got to ride the damned thing.
It already is going wrong- I think the big sprocket is not screwed on properly at the back (the one opposite the casette) or I'm not putting the tensioner on properly. Everytime I use the bike on the roads heads are turning are this weird contraption and I feel so good- then the 415 chain comes off and sometimes the wrist pin comes loose and it just dangles uselessly- I'm left revving but not moving like a fool with clink clink clink behind me. When I spin the back wheel the sprocket turns but it kind of wobbles - when I put my finger to it and some points in the rotation its touching at other point it gets varyingly further away.
I never fitted that big sprocket which came with the kit- it was already there with the bike when I bought it- I did learn about and change absolutely everything else though- there isn't time to master all of the things I need for motorized bikes and become even a semi pro at troubleshooting and fixing them fast for a 5-6 hour grind daily- already so many problems.
Went to a bicycle shop today and they said the rear wheel was also misaligned by the same method of putting finger close to it. The bicycle transmission is all gone the pedals, the crank arm.
The tyres were totally bald- indeed everytime I start up that moment when I let go of clutch and the back wheel seizes hard before the vrooom of engine, there's always a dangerous skid. He suggested proper fat schwalbe marathon plus tyres.
The guy was alarmed at the thought of motorizing the bike with so many problems already and even more so when he realised there was not even a back brake- It's an 80cc engine and the bike not designed for that kind of power and acceleration even though same speeds can be reached by a good cyclist.
There front brake pads were worn out and given that's the only thing which is stopping the thing not a good idea. All in all the conclusion was it was a bit of death wish to continue using this on the road.
I seemed to have forgot that this was a motor BICYCLE. I took ages to reply today because I started working for Deliveroo today on my normal push bike. I will take the time to learn everything about push bikes and maintaining those (I will be forced to now I have to cycle 40-50 miles a day). I will use my already reliable road bike had that serviced cos I needed it fixed fast for work. I will slowly buy parts for the motorized bike and learn using youtube (also buy a bicycle tool box) and swap parts on motorized bike whilst learning to maintain push bike (can't experiment on the pushbike cos I need that for work).
I will also in the meantime learn about the carb because it seems to really be at the heart of the way the motor fuctions.
My gear puller (the one with the legs) and harmonic balance will arrive tomorrow- I will see how they fare with my pains to take out the clutch shaft and camshaft of the old engine. If not will use WD40 and try to get off using the idea of someone from this site.