The engine numbers are just below where the shift lever comes out on the left side, slightly to the rear on a raised area of the engine case.
Once we know the frame serial number, we can deduce the year of manufacture.
The LETTER in the frame number identifies the year model, in most cases.
I don't know the DMV regulations for an OHIO licensing of this model.
In some cases, 50cc bikes are considered "mopeds" and receive different licenses than "motorcycles." If you have a decent set of metric tools, you can "fix it" yourself!