Those are not Honda model or serial numbers; that 96144.... number comes up a Poulan brand mower, and probably just has a Honda engine.
So, I can still help, but need the serial number off the SIDE Of the ENGINE BLOCK. It is in the form of "GXXXX-1234567" (for or five letters, a dash, and 7 numbers). Get me that I can match up the correct carburetor/gaskets you'll need.
The mower is a "Black Max" model I purchased at Sam's with the Honda engine. Below are the numbers off the engine block:
GJARA 1185153
GCV160LA0 S3A T89
Thanks again!