Well .. I am not going to speak for Ohio laws. Not going to read or try to decipher it for you Cereal Killer, but YES ... I would/can charge you for EVERY weapon you're in possession of if said possession is illegal. The prosecutor decides if he wants to proceed with each charge or combine those charges. The Judge decides if/how he will sentence you for each charge (if convicted on each).
As for Georgia .. you can own/carry any knife (open or concealed) as long as it's BLADE is less than 5" from hilt to tip. Longer than 5", you must possess a carry permit. You can possess/carry any knife (even without a carry permit) on your own property, inside your vehicle, or you place of business. Exceptions: govt properties.