Everything is still entangled and can influence everything else.
Causality and entanglement (Einsten-Podolsky-Rosen) are two different things.
No, it's not connected. This is because we reside in an expanding De-sitter space. In other words, we live in something resembling an inside out black hole where the center is held together by gravity, and everything outside is the event horizon. Everything outside this space is expanding away from us at 3 times the speed of light. (In the future, all the galaxies that gravitationally interact with us will merge into one giant galaxy while all the light from outside our DeSitter space will red-shift into microwaves and disappear. Our ancestors will think the whole universe is a single galaxy floating in an infinite empty void.)
In fact, the Theory of inflation was a way to explain why the early universe did not collapse in on itself due to gravity. There was an inflaton field that permeated everything, and before gravity separated from the other three forces, this inflaton field caused the universe to instantly increase to a size where regions would no longer gravitationally effect each other. It also explains why the universe is so homogenous at extremely large scales (ie "The End to Greatness", where the universe looks smooth).
How do you know the universe is actually an extremely large scale and not an extremely small scale? As in, why do you know that there are not unfathomable numbers of greater scales than our universe? At a large enough scale everything looks insignificant and homogeneous. Plus, can't we not even see 96% of our own universe? Why do we think that observing on a large scale that it would be smooth? If we are in a simulation could there not be any form of smoothing done through some other algorithm? ---