Answer: The cross will produce 4 offsprings with the following genotypes:
XhXh, XhX, XhY and XY.
Explanation: Hemophilia is an X-linked disease. A woman who carries the hemophilia gene but doesn't not express it is heterozygous, therefore she has a genotype of XhX, and a man who has hemophilia has a genotype of XhY. A cross between them will produce one female and one male who are hemophilic (XhXh and XhY), one female who is a carrier (XhX) and one normal male.
See the punnett square attached for the cross
The first time you get poison sumac, it usually takes a while to show up. If you have had it before, it takes around a day or two if you have had it before, so I'd say the answer to the question is no.