ratiocinator
Lightly seared on the reality grill.
A non-argument.
I was calling out your non-argument. You simply cannot use what is acceptable to you as being an argument for its truth.
No, sorry. You cannot prove that time is an emergent property of the universe.
It's not a question of proof (which is only something you get in mathematics and pure logic). The current scientific evidence and our best tested theories indicate that space-time is very much a part of the universe, which can 'curve' (causing gravity) and may, quite possibly, be finite in the past direction. It may also be infinite in the past, we simply don't know yet but you can't dismiss the logical possibility of either.
Doesn't seem to be?
Nobody categorically knows for a fact how quantum phenomena should be interpreted.
Again, it's a question of evidence and well tested theories, which, at the very least, introduce the logical possibly, and the mere existence of logically self-consistent alternatives is sufficient to undermine the 'first cause' argument.
No, if you don't wish to think that a first cause is necessary, you imply that infinite regression is plausible.
It obviously is plausible in terms of an infinite past (there is no contradiction). It's also plausible that time may be finite in the past without a first cause.
That, in turn, implies that everything we see is one big coincidence.
Not even sure what 'coincidence' would mean in this context, but so what? The existence of an unexplained first cause would be equally 'coincidental' (unexplained). The existence of a first cause is not an explanation for why something exists rather than nothing, nor does it explain why things are the way they are.