Was hired and fired after moving my family two states away for a job that said I was qualified.

I accepted a state government position (grant based) in Kentucky of June last year. Uprooted my family and had a horrible time of it. When a new position closer to where we actually lived opened, I took it (non-grant based). I’ve been with the company for the better part of the year. They’re just now verifying my college education/qualifications. Today they told me I can either resign without taking a hit to my employment record or I can be terminated, possibly giving me the chance to file for unemployment. The person who hired me never asked for education validation. I didn’t lie on my application. I spelled out exactly what my degree title was and the credits I acquired through college. I was told that was sufficient. Fast forward to now, after I accepted a new position. Personnel says my education is NOT sufficient and that my choices are termination or resignation, even though I’ve been with the company for almost a year. I understand that Kentucky is an “at-will” state, but I really need to know what my options are here in legal terms. My life is in shambles over this, and in just one short morning. Please, please help me.