<p>This paper is devoted to proving the theoretical results concerning the time-dependent properties of regular pullback random attractors for non-autonomous random dynamical systems. First, we establish their existence, uniqueness and backward compactness. Second, their backward long time stability is analyzed as the time parameter tends to negative infinity. Eventually, we investigate their backward asymptotic autonomy as the time parameter goes to negative infinity. As an application, we consider the fractional stochastic parabolic equations driven by deterministic non-autonomous forcing and delay. Since the high regularity of solutions for such equations is not easily derived, we prove the backward asymptotic compactness of solution operators via the spectrum decomposition technique.</p>