Well, yes and no. The reason those things are in the Render menu currently is that there isn’t a super obvious place for it now in the Properties, and also simply because those options are not that important - it’s not something you are likely to set all the time. It would seem out of place if they were at the very top, given their relative low importance.
As for the Render Image / Animation buttons, in 2.79 they didn’t work so well, because as you would scroll up or down through the list of properties, the buttons would scroll away, which means that users would have to scroll up and down to get to those buttons.
@JulianSeverin has a patch to add the render buttons as a separate region at the bottom, so no matter how you have scrolled the properties, you can always find and hit the render buttons, which never move:
Hopefully we can add that before long.