Think about it some more. If the infinite plane has a centre that could be anywhere, then everywhere would be a centre. But can this be true? Our Universe is infinite - it has no “edge” to define its limits. If anywhere was its centre, then right now you are in the centre of the Sun.
But you obviously aren’t. So, even in infinities, centres matter. Likewise, Time cannot be “begun” without a pre-existing Time to define the change that brings about the new Time’s existence. Change, put in simpler words, is simply impossible without the lapse of Time.
No, you have it wrong. It's not that everywhere is (rather can be) the center means that every point is the the same point.
Think of longitude on our planet, any particular point excepting the poles [which define the latitude] could be our 0 degrees [the prime meridian] as it is arbitrarily chosen; this does not mean that every point on the planet is the same.
(From Wikipedia)
By convention, one of these, the Prime Meridian, which passes through the Royal Observatory, Greenwich, England, establishes the position of zero degrees longitude.
[...]
Note that the longitude is singular at the Poles and calculations that are sufficiently accurate for other positions, may be inaccurate at or near the Poles. Also the discontinuity at the ±180° meridian must be handled with care in calculations. An example is a calculation of east displacement by subtracting two longitudes, which gives the wrong answer if the two positions are on either side of this meridian.
But it may actually be true that every particular point is the center of the universe. Consider the big bang, if at the beginning of time [t=infinitesimal] the universe was a single point then any point in today's universe is derived from that point thereby making all points the center.
Change, put in simpler words, is simply impossible without the lapse of Time.
You have it exactly backwards: time is the measurement of change; that is time is dependent on change... not change dependent on time.