Accessing the service manual (Workshop Manual 194, which also covers 214)is the best step you can take I think. Honda recommend blowing compressed air through the air passages as part of the cleaning process.
Any damage to the bore of the main jet is likely to have very unfortunate effects (enriching the mixture by an unknown, but potentially large, amount), and require getting another jet. My tradition in my carburetor "fixing" days was to solder up the bore of the brass jet and then enlarge it progressively with a set of jet drills, using a pin vice, but I only did that with old engines where there was no way to find out the correct jet size. In this case, if you've damaged the jet you should just buy another one, or get a used carburetor from a wrecked mower.
