HW Interest Rates sctructure scenario generation

Hi All, Suppose I have an initial term structure for a currency and parameters for HW model (2 parameter HW model). I want to generate scenarios where at each time node I have the whole structure of interest rate but not only the short rate. How can I do so? The next question would be if I have several currencies how could I get both of IR and FX rates generated in each scenario?

Thank you in advance, Alexander