The first step would be to write your functions in the Wolfram Language's syntax. For example, I think your first function is:
L [r_] := (nP pN (-1 + r))
Is that correct? What are the values for nP and pN? You will need these to plot the function.
When you say that you want to plot the functions on x and y axis separately, do you meant that you want to do a parameteric plot?
http://reference.wolfram.com/language/ref/ParametricPlot.html
So it would be something like
ParametricPlot[{N[t],L[r]}, {r,0,1}]