Jarrod, we'll have to go through this problem from first principles to get a reliable solution, but before we do, Walbro K10-WAT is a carburetor overhaul kit, not a carburetor. The kit fits Walbro's two most popular models: the WA, and the WT. Which you have will be clearly marked on the outside of the carburetor, together with a variant type. Please let us know the result. It may be a WT548, but let's find out for certain.

Now, the first things we need to know:
- what is the compression like? Does it have two clear, sharp compressions for each revolution of the engine?
- you have already tested the ignition, so we'll put that aside for now.
- you need to put a teaspoon of 2 stroke mix into the cylinder through the spark plug hole, reinstall the plug and attach the plug lead, then try to start the engine. If it starts and runs for a few seconds then stops, we will need to focus on fuel supply issues, but if it doesn't, we'll need to look elsewhere.