So Here's the Bike:

2001 Suzuki Savage, 5,000 miles, chain drive conversion, raptor petcock, and thats about it. so, have had the bike out twice now, first time absoutely no issues, except idle seemed a little low. i tightened the thumb screw up a little on the carb to raise the idle, got it where it was good and left it. Rode the bike to work this morning, was running late and she wasnt wanting to fire, so i bump started her, fired right up and rode off, didnt notice any smoke, but i didnt really look back, i was in a hurry.

Went to grab a snack, started her up just fine, made it like 30 feet and  noticed she billowed white smoke.  parked her adjusted the thumb screw back to where it was,  restarted her, still smoked a litte, seemed after a couple more throttle twists the smoke was starting to clear.

Also should state, ive seen a decent amount of oil around the lower part of the head, seems a little excessive, anything i can do without tearing her down and replacing the head gasket? (pretty sure thats where the oil is coming from. also looked into the sightglass, and noticed some either white smoke inside there above the oil line, or some condensation(?) I live about 15 minutes from my work. Am i safe to ride her home?

the PO might have changed it right before he sold it. I havent changed the oil since ive had it, maybe a week. before today and yesterday (both about 15 minute rides to work, and 15 back after, the only rides it had were a couple down the block really fast. i started her up everyday though.

Ill keep an eye on it, and im about to go start it right now, lunch break to see whats up

The thumb screw is the idle. Its common to need to adjust it while riding. I always had to raise it up ( the idle) when first starting out, even on hot days. After riding 15 or 20 minutes, the engine was running great & duriong that time I had slowly dropped the idle adjust down, You Gotsta keep that thing idlint at 1,000 or so RPM, or the cam wont oil right, & you wont like what that does, at all,.,.

If you changed to the Raptor, then maybe the old petcork leaked gas into the oil,, oils cheap,. engines, well,, they arent, If someone else put the oil in, you dont know what they used, really,, so, Id probably just dump it & start over. If you know the filter is new, then leave it, not enough of anything in there to hurt anything.

Thats another thing I do with stuff I buy.. if I am not sure of the health of the battery Im gonna put a fresh one in, & these things are very snotty about the voltage needed for starting. Theyll spin over & it sounds like its spinnin over fast enough to fire on up, but it wont,, & then when ya DO get it goin, the charge circuitry isnt just maintaining a battery, its workin its guts out,, risking more repairs, IMO.
Check the water, put it on the bench, charge it up nice & easy, just a coupla amps,, I have a 6 amp,, its the lowest it goes, not the best but so far I dont think Ive killed one with it,, then take it into town for a Free load test at a car parts house,.If its not healthy, look at a Big Crank,, kinda spendy, but they last & they dont have water in them, its a sealed up, gel type battery.

Ahhh,, thumbscrews,, such fun!