I think this question has been answered before but I can't seem to find it.
With Lucifer square the Nodes, is the resolution Node to the right when standing on lucifer (so to speak) in the chart?
Resolution node is always to the left, never to the right, with all bodies including asteroids.
And by extension, any body with an orbital period faster than Saturn. Is that correct?
You are mixing apples and oranges. Orbital speed is a factor in determining the phase between two bodies. It has nothing to do with determining the resolution node.