Your Inspire 2 itself has a few serial numbers on it for different components of the aircraft. The main assembly serial number will be located just beneath the battery compartment on the right side of the aircraft. This is the serial number that you should use for your Inspire 2 Care Refresh Activation as well as noting for any insurance policy for your aircraft.
Inspire 2 Serial Number for activating CinemaDNG & ProRes Licenses
For activating licenses you will need to use the CineCore image processor's serial number. You will find this S/N in the battery compartment on the left side of the aircraft.