Kawasaki Engine model and serial numbers are located on a tag attached to the rear of the engine on the engine housing. See image below for reference.

The CODE number above the barcode is made of the model and the spec number. The first number refers to the model number and the second number refers to the spec number.
The E/NO number under the barcode refers to the serial number.

For Example, on the tag below:
Model Number: FXT00V
Spec Number: FS00
Serial Number: FXT00VA37488