I think serial number and/or IMEI and/or MAC address were stored on the Kindle's flash. Plus, the serial number of the Kindle itself would indicate to the firmware whether it is (should be) an 3G model. However, Kindle serial number is coupled to Kindle account data, and Kindle account data is responsible for 3G data plans (I think). A bit of a limbo there. While getting the actual hardware to work ought to be possible, getting a proper data plan (at least via Amazon's subcontractors) seems to be much more difficult.
That said - for analyzing the state of things, I'd check kernel log, loaded modules and so forth via shell access.
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