Did you try pouring a bit of gasoline right into the carb opening? If you did, and it it didn't try to start, then you do have a carb problem. Honda carbs can be difficult to clean properly, so you might want to price a new replacement carb. Honda sells replacement carbs at a very fair price ($35-$45) and you can usually have the job done pretty quickly. I guess it comes down to how much you value your time.
I would take a quick shot at cleaning the main and idle jets, and if it wasn't fixed I'd go with a replacement carb.