Part of professionalism in the 121 world is taking positive steps to be fit for duty each and every time. If you are not 100% rested and fit, then you are either sick or fatigued and cannot legally exercise the privileges of your pilot certificate. A good study of the Colgan accident will open your eyes in this area. Highly recommend planning your commutes accordingly. Doing a red-eye and then Napping in the crew lounge will not suffice.

Did the check airman discuss this with you during IOE? I am wondering why he did not recognize your condition and take appropriate action?