You could look at it this way.
Assume Earth at the center of the explosion at time zero an intense light (and radiation) pervades everywhere in the as yet small universe.

At T1 or Time one. The light from the explosion is fading as the fireball expands outward.
At T2 or the present day you would be seeing light from the expanding fireball of the "Big Bang" which would be at an extreme distance.
So in essence you are seeing light from the "Big bang" event.

You would not be seeing the original light of the event and I dare say it would be red shifted light at that.

As far as the event or us moving at the speed of light I believe that it has been postulated that the "Big Bang" event expanded at FTL (faster than light) speed.
Although I don't think that hypothesis has been widely accepted.