Normality, orthocompactness and countable paracompactness of products of GO-spaces

In [4], it is asked whether orthocompact products of two GO-spaces are normal or not. In this paper, we see that a product of a GO-space and a countably compact GO-space is normal iff it is orthocompact. Also we prove that a normal product of a GO-space and a countably compact GO-space is countably paracompact.