Edwin Hubble proposed at least two potential solutions to the photon redshift distance relationship observation, 'expansion' and 'tired light'/inelastic scattering. Scattering shows up in the lab and assuming that's the cause of redshift, it would result in a static universe which could be infinite and eternal as far as I know.
Not exactly. It depends on how you interpret redshift and whether one insists that "God" must remain exactly the same. Even in a big bang scenario, it's possible that God could simply take a "piece" of himself and create something temporary with it, which is still a part of him. Imagine for a moment I simply changed the terms to 'Godlfation, and God matter, and God energy. Even in an expansion scenario, God could still be the source of all the mass./energy that we have access to today, and it could still be a "part" of him.