You may have a detrimental reliance claim or similar claim against the employer who offered the new position but has been putting you off. The law on this point varies state to state. Louisiana law likely would not allow you to recover under the facts you have given, but current law in the other state, not identified in your question, may allow such a recovery. You should contact an attorney there to inquire as to whether you have a viable claim.
The foregoing is intended as legal information concerning the question asked, but is not intended as legal advice upon which the requesting party may rely in guiding their actions. Rather, the requesting party should consult an attorney for a personal consultation and advice for a full consideration of their situation and rendition of legal advice.
Areas of practice listed are are areas of concentration in my practice. I am not board certified in any of the listed areas, and by listing them and describing my practice I am merely describing my experience and the nature of my practice.