Problem when Hausman test compares Fix effect ( with lag dependent variable as regressor or Dynamic fix effect model) with Random effect model.

I have a question and problem in this situation . when I want to compare fixed effect model with lag dependent variable as regressor( or dynamic fix effect) with random effect , then Hausman test uses only fix model not (lag dependent regrssor model) .
I face difficulty in this situation.
Furthermore if i want to Plot graph of Fixed effect model then in this situation EViews not provide any help or may i not know that.