#1
Hey guys, I have a humbucker and an output jack and I was wondering which wire to solder to which part of the jack? I have a picture of both parts if it helps.
Gear:

Gibson 2005 Les Paul Standard
Fender Road Worn Strat w/ Noiseless pickups
Marshall JCM 2000 401C
Marshall Vintage Modern 2266
Marshall 1960A cab (Dave Hill from Slade's old cab)
Ibanez TS9DX
EHX Little Big Muff
Freshman Acoustic
#2
white - live
bare - ground

ground wire is connected to the lug / tab - whatever that goes to the middle
white-hot is connected to the tab that is connected to the sticky out part
#3
typically the above is true, but just for fun fact, if its going into something alone it doesnt matter, it will just reverse the phase, which wont sound different unless you have a second pickup mixed with it.
although, you cant do much with just an output jack and a humbucker, need some strings and stuff