You might look at the online calculator at DOFmaster.com so you can understand the change in DOF at various distances .
In a situation like this, I would shoot as close to wide open as I could so that the background is really OOF because of the real chance that it would intrude on the image.
If this was a raw file, it was saturated too much, if this was a jpeg, your settings are too intense, I think.
In very bright overhead sun, there is inherent harshness in the light and sometimes the images don't look extremely sharp, perhaps because of diffraction along edges. This is sharp enough.
Bokeh is a factor that is inherent to the lens and there is nothing you can do about it.
I use PS not LR because I want to be able to try different things, hold onto changes and alter them.
In PS, I copied the figure onto a new layer.
I also copied the foreground and sides that I wanted to stay in focus onto a new layer.
Then I darkened and reduced contrast on the background, slightly defocused the background.
Darkened the foreground and the sides very slightly.
Sharpened the figure,
Sharpened the sides and foreground a bit.
Merged everything together.
Converted to BW (with a bit of sepia)
(the layers are a bit misleading because I merged several, not anticipating using the file, but you get teh idea.)
I couldn't do this easily and accurately in steps in LR so someone else who knows LR better than I will have to walk you through it.