Your entity is pretty close to the conception of the modern conception of the quantum field in its ground (lowest energy) state. Space and time are not voids of "nothing", but are made of the quantum fields. What conscious beings mean when they say "things happen" in the World is that they are observing interactions between the handful of quantum fields that are our Universe. When we say there is an electron in a certain part of spacetime, we really mean that the electron field is in a certain, raised energy state. An atom here means the same kind of thing, only more complciated. It is our experimental observation that the fields change in steps and these steps are what give the "graininess" or particulate flavor to the quantum fields. In this conception, it is not always meaningful to talk about where particles are: in modern quantum field theory the "particles" are more like "notches" on tablets in some bank account bookkeeping the state of the quantum fields.
"Supposing ‘space’ itself is an entity of as yet, undefined properties"
Actually they are not altogether undefined. "Empty space" fulfils the vacuum Einstein equations, which means that different parts of "empty spacetime" have materially different properties: curvature for instance. I don't recommend the "rubber sheet" analogy commonly given, but instead try your hand at the "Holonomy" Wikipedia article: curvature defines how a vector transported on a closed polygon whose sides are geodesics change on each circuit, so in principle defines a real, physical, repeatable measurement we could make on different regions of spacetime and get repeatably different results.
Even so, Einstein's theory is what is called a classical theory, meaning it doesn't yet describe its results in terms of a quantum field. Eintein's theory is really a description of the "stuff" of empty spacetime without giving us any clue how or why spacetime has these properties. It could be said that modern quantum gravity research is the endeavor of learning to ken the stuff that "empty" spacetime is made of.
As for "dark matter", no, we don't believe that the "entity" of "empty" spacetime accounts for this. However, there is a cosmological constant in Einstein's equations which we experimentally find to have a nonzero value. This drives an acceleration of expansion of the Universe. Sometimes the cosmological constant is called "Dark Energy". I'm not a cosmologist, but my understanding of why it is not the dark matter explanation is that, although it can be construed to play a somewhat "matter" or "stuff"-like role in the Einstein field equations, the analogy is not complete because the "Dark Energy" has fundamentally different mathematical properties from the terms in the Einstein field equation that arise from "stuff", i.e. the quantum fields in their non ground states (I'm talking about the fact that its so-called covariant derivative vanishes, whereas that of the "stuff" terms - the stress-energy tensor- does not).