Wirewound isn't exactly necessary.. those Pedals work at 5V and see no more than 200mA..
so the absolute max is 1Watt (at full throttle)
carbon film can totally do that (okay one size bigger than I suggested) I thought half that should do under nearly all circumstances.
The link I provided earlier has small (5W wirewound) resistors that do not go up as high, but arre almost as cheap as the ones I linked. (20 instead of 15ct)
Now..
[
EDIT]gone[
eoE]
Otherwise you'd seen the Throttle resistor must be 5kOhms
for 90° travel (from zero) since that's a 240° travel poti (linear) you have 60° of travel from 0 to 5kOhms
likely the potentiometer is in fully working condition it just broke loose and needs to be adjusted.
OR it's the wrong part completely (PO replacement)
and thus you ordered three more wrong parts...
Now, back to the questions...
Nope, kango does not have a website, they had (a decade ago) but went OOB in 2004 or something.
They had a crappy website (even for that decade) and provided little to no info at all.
Also.. I might recognize the controller, if I've seen it; but you haven't showed us yet!
All we've seen so far is that kango stamped splash proofing that's added afterwards; and frankly with that, there's nothing to identify (other than the kart)
(should I say that an "Electro Man" would know that? ... but I won't

)
We don't know what motor you have so not even that could narrow it down.
My bets are still on Curtis something in the 1206 league (just older) actually solidified by the long battery terminals;
but again.. that's nothing more than a guess.
'sid
[
EDIT]
Now, rechecked that wiring schematics (the one you provided is the only one I've found myself too (visforvoltage))
If you read (and have a certain expectation to what you read having seen such thing before)
it's quite obvious really..
So let's start with the governor section:
Top: Female to terminal 3 on controller (so far so obvious)
LEFT: Femal Male and Male Female (duh... [the wires the pedal will connect to])
RIGHT: Key <jibberish> (mounting side ?) view
Bottom: Female to terminal 2 on controller
So far so easy.. the jibberish is unimportant, likely just explaining that it's the male connector seen on the schematics and thus the plug (what you have in your hands) is mirrored.
Now, the totally messed up part.. the Accelerator:
Top: Variable resistor at pedal
Bottom: +- 0 - 5000 varying resistance
next line.. +90 pedal <jibberish> ( pedal off position?)
next line .. 5000 (Ohm) = 0 | 0 Ohm = full throttle (meaning the lower the resistance the faster you go)
But get your multimeter handy and MEASURE that dang thing!
No not the variable resistors.. the controller (pin 2 and 3)
'sid pt II.