Employment Law Questions? Ask an Employment Lawyer.
Texas is an at-will state, which means employees have very few rights. Wrongful termination claims are generally only available if the employer retaliates or terminates you:
If none of these are present, you really don't have much to go on.
Also, if you were terminated for cause as alleged, UI benefits aren't available. However, you should appeal as the appeals administrative judge may see things differently than the first one did in terms of whether you were fired for cause.