OK, start from scratch here. 2 stroke dirt bikes are about the simplest form of internal combustion engine on the planet. They only need 3 things to run, spark, fuel, and compression.
First off, are you SURE it has good spark? A bright blue/white crack when you have the plug grounded against the case and kick it over?
Next, that carburator needs to come completely off of the bike, be taken apart (completely) and thoroughly cleaned with spray carb cleaner. Check the float level. Someone else stated 16mm which sounds ball park to me. Set it with the carb body at an angle so as not to compress the spring on the float needle. The reason I say to set the float is because that hose nipple on the bottom of the float bowl is the bowl vent line. On some newer carbs (4 strokes in particular) it is the bowl drain, but on most all 2 strokes, it is just a vent and the drain is the 17mm bolt in the bottom of the float bowl. Since gas is running out of the bowl vent hose, it indicates to me that the float is either set too high or is hung open by some grit stuck in the needle/seat assembly. Pay special attention that the pilot and main jets are perfectly clean and unobstructed. It doesn't take much to block a 42 or 45 pilot jet. And even partially blocked, it can make it next to impossible to kick start.
Since your saying it is hard to bump start in second gear I'm presuming it has at least fair compression, so make sure it has the good spark, and the carburator is clean and set right (the other hose nipples are also 1/8" vent lines, run lines from all of them out the bottom in front of the swing arm pivot at equal lengths), then see if it will start.
As for the clutch dragging, the plates are warped, and/or the clutch basket is notched.
Do all this and let me know what your results are. In the meantime, here is your dirt bike version of this sight times 10..
ThumperTalk. Take yourself down the page to the Suzuki 2 stroke section. I'm Olhillbilly on the forum, you'll see me around.