Recommended process for honing is to run the hone slowly and pull it in and out of the cylinder rapidly so the marks in the bore are helical, not circumferencial. However what you have done has broken the glaze - the problem is that the rings may catch on those narrow circumferencial grooves. If it seems OK after the first time you use it, and it doesn't use oil, chances are there is no problem. Other than that it sounds like a good outcome - that should be a really good mower engine.
