How can I beat what I think is unlawful termination. Heres my issue. Posted something on faceboock

Two things: first, if you publish information on the Internet, you are responsible for what you publish and the presumption is that you have done so for all the world to see. There is therefore nothing wrong with someone printing a copy of your Facebook page and providing a copy to your employer. If you had intended to keep these materials private, you should not have published them. Second, in the absence of an employment contract or similar arrangement in Connecticut, all employees are deemed to be hired "at will." That means they may be fired at any time for any reason or no reason at all.