Jordan
I don't know if you are still reading this.
It depends whether you want the scientific answer or the real one.
I speak as scientist and Christian! Involved at various times in both quantum physics, astronomy and cosmology,
First I would caution you on all your dates. The only answer is don't know,
Right now, science doesn't and can't be exact about the model. Observations show that perceived Universe expansion rates and galaxy rotation are such that the model simply doesn't work.
Some suggesting bringing back what Einstein coined " his biggest blunder" the cosmological constant,, or inserting a matter field to compensate. And depending what you do to get expansion right, the dates change as well. It is not as clear as you think.
But there is a far bigger philosophical problem. Your question posits a universe which has objective existence, In order to have an age. Where the battles fought over copenhagen interpretation shows the universe clearly does not have objective existence in science.
It exists only when observed. And is therefore subjective,
Einstein hated that but was forced to concede it was true.
Bell experiments proved it,
Quantum decoherence can explain why large things appear to have objective existence, when particles do not, but still sciences answer is no, it does not have objective reality, decoherence just makes it appear to exist.
How can something with only subjective existence have an objective age?
To get round those " Schrödinger's cat" type anomalies science posits an infinite number of multiverses, of all possible histories and futures, so which one do you mean when you talk about age
So the science you think describes an objective universe does not, it is a useful tool that has limits and breaks down at extremes. Hence the paradoxes.
Even Scientific model does not say it starts at Big Bang. It says the math breaks down so nobody knows.
I hope you now see the problem in science.
You are giving ages for something that science says only has subjective existence.
I.e. Science is philosophical clap trap.
So to reality
I think the moon does exist even when I am not looking at it, and I think my moon is the same as yours. So I can't agree with science, if it is assumed to be a fundamental basis of the universe, nor do I think there are an infinite number of me in an infinite number of universes, so I have to disagree there as well.
As an individual I believe the scientific model, is a very useful tool, nothing less but nothing more , and predicts within reason many things that we see, allowing us to harness nature.
But that is a far cry from science understanding, what it is in reality, what it is made of, what has happened, what will happen,how long it has been there or will be there, and why it exists, and whether it is obliged to follow the rules it normally does.
The scientific model has been pushed way beyond its useful limits, which is why the paradoxes appear. Not least because the universe has many dimensions, most we can't even perceive, so our science can never hope to be right.
If you read one of hawkings latest works he posits " model dependent reality" which is an admission that no one model can ever explain , and some things have contradictory models. It also in my view kills his theory of everything dead. Or the idea of any universal scientific model.
So the shrinking god of the gaps is a Falacy, because science explains nothing, so it is all gap!
Science can only predict what repeatable things do. Jury is out on the rest.
As to your dates who can say?
I would love to get simply yes/no answers on these 4 questions to get some insight in how Christians view science.
Do Christians believe the universe has existed for 13 billion years?
Do Christians believe the Big Bang happened, and was the beginning of everything within the universe?
Do Christians believe that earth has existed for 4.5 billion years?
Do Christians believe neanderthals were living on earth 500,000 years ago?