Got spark? If no spark, solve that first. (new plug, test coil, inspect engine stop switch). Need to first get to a condition where spark is good, but still no start. That pretty much means its a fuel/air delivery issue.
You said you replaced the carburetor; is the new one a genuine Honda carb, or an aftermarket one?
Double-check the choke and ensure it is all the way open on a fully-warmed engine. If the choke were to become closed, it would cause rich-running, plug-fouling, black-smoking and engine stalling conditions. Oh, and make a warm engine impossible to re-start.