HT Engine?
i found the main problem was that my gas cap needed to be loose so it would let the gas go into the carb. you need to put that on your list al. It didn't have much power (but i do have the smallest drive sprocket i could find) and the throttle seems to decide more how much noise it makes than anything else. does screwing in the air fuel mixture screw add more gas or air? pulling the clutch all the way makes my idling engine sound like its gonna explode from revving so high, so i can't fool with anything while it's still. anyways i got a five mile ride out of it today after i finally figured out to loosen my gascap. I'm happy. i wish i had a camera but i can't afford one right now.
Are we talking about the chinese 2 stroke with the stock (cnc) carb. If so, Theres only one screw on it and thats a idle adjust ONLY, NO air screw on it. Just set it in or out untill you have it idleing where you want it.
The gas cap thing comes up once in a while, Then everyone forgets about it again. The first time it happend to me I sat on the side of the road for an hour before I figured it out.
And yeah, Some of these engines sound like their gonna fly apart at idle. It may get better when it's broke in. Make sure you service it before you ride it too much more. The bucking bar and clutch arm assembly needs grease, (Take the bucking bar out, push some grease inside for the bearing.) The crank gear, clutch side, along with the clutch gear itself, needs just a small touch of grease, (not too much or it'll get on the clutch pads.) Try to also get a little grease (or heavy oil) into the very small bearings on the clutch itself. The chain also needs a good chain lube. And just go through the entire bike and make sure everything is tight, greased and (or) oiled. You'll be fine untill it breaks.

And trust me, sooner or later, SOMETHING WILL.
And OH YEAH. If you haven't already, Change the spark plug (NGKB6HS) and plug wire. You can use any "good" auto type plug wire. It'll be a lot better then what it came with.