BA,
The foundation of the yellow stone wall is not shown, and the depth of frost was the concern that changed my preference from stone wall to log wall, that can drive posts deep into ground with much less cost and effort.
I don't think the freeze-thaw of the dirt pile will affect the stair structurally, as it is not supporting anything, and rather, it protects the soil and structure below the stair/landing from the freezing temperature, very much as a blanket. So, I refrained from making suggestion to remove it, which is quite difficult (thinking about the size of the nice looking boulder/rock), and a lot of other works need to be done to protect the stair.
I guess OP's problem was some of the heaving soil had slide too close to the sliding door, that need frequent removal/cleaning. Thus, a short barrier wall should work to block that movement by catching the loose soil behind it. I love the planting idea, as it adds focus point to the bare entrance, and eventually will provide protection to the slop, once the roots have firmly developed.
Well, to me, it can be a fun project, I will jump in if I live the next door
