This is some great info which helps a bit. What I find strange is that we as in our galaxy is moving away from the center of the universe at the speed of light, so where does the observer come into play? Is time really going as fast as we think it is?
I'm not sure if your viewing it like this, so I apologize of this is not news to you, but it may clarify some things: Many people seem to misunderstand the (perhaps poorly named) Big Bang to mean that space existed already, and that matter exploded into existence, and that there is therefore some center from which we are all flying away from. But that's not how the Big Bang theory works.
There is no spatial center of the universe in the Big Bang Model, because the whole concept of the Big Bang is that the universe itself expanded from a singularity to what it is today. That is, spacetime itself expanded from nearly nothingness. The Big Bang was determined to have occurred by observing that the universe is expanding, and that therefore if one were to follow this trend back to the "beginning", one would have a singularity.
-So there is no "center" of the universe from which we are flying away from. The model proposes that all that exists, previously existed as a singularity or nearly so, and so we're all part of the center.
-Similarly, because there is no center, there is no center that we're moving away from at the speed of light. Galaxies do indeed move through space, but not nearly at the speed of light. In addition to their movements, the cumulative effects of the expansion of space result in galaxies increasing in distance away from each other at sometimes faster than light speed, but they're not moving
through space at this speed, and therefore the time dilation in the theory of relativity is not involved. General relativity, and the concept of time dilation that comes with it, concerns objects moving through space, not spatial expansion.
-A way to think of this is to imagine two ants walking on the previously described expanding rubber band. If the ants represent any object that can move through space, and the rubber band represents space itself, then certain rules of physics concern their ability to walk on the rubber band, including general relativity. But other rules, possibly related ones, concern the rubber band's ability to stretch. The rate at which each ant moves via their own walking on the rubber band, is different from the rate at which the ants are moving in terms of absolute distance. They could be walking towards each other and yet moving away from each other if I'm expanding the rubber band between them.
-Time appears to move to one object compared to another object based on how those objects are moving compared to each other. The measurement of the age of the universe uses the reference frame that doesn't move through the universe but that instead remains in a way that the expansion is isotropic, and therefore has no time dilation compared to the universe as far as I understand it. If other objects (and their reference frames) are moving about, then their rate of time change can differ from other objects and reference frames.