Please stop asserting nonsense in the public domain and ascribing them to me.
1. I never assumed a spacetime singularity is made up of matter. That is simply absurd since matter cannot exist within a dimensionless point. Neither did I imply motion within a singularity since motion implies spatial displacement over time -- displacement and time being irrational quantities in singularities.
2. A spacetime singularity is not an 'infinitessimally small point of energy' since you already said that matter couldn't exist and einstein said that matter IS energy -- E=mc^2, remember? If it ain't matter, then it most certainly ain't energy.
3. The law of inertia applies since ENERGY IS REQUIRED TO ALTER INERTIAL STATES -- whether you are talking about the motion of matter/energy (newtonian and quantum mechanics) or the expansion/contraction of spacetime (general relativity).
Einstein's field equation describes the dynamics of two opposing energy densities -- gravitational energy density that tends to contract spacetime and lambda (that would be the cosmological constant multiplied to the metric tensor), a negative energy density that expands it.
Clearly, if spacetime is expanding at an accelerating rate, there is a net energy density that is causing it to do so. And when you are talking about a non-zero net energy density, then you have the law of inertia (and conservation of matter and energy) to contend with. Do you follow?
All these happens in 4-D spacetime so you might have problems visualizing it. I know I have.