The problem is that so far nothing you have presented disproves Young Earth Creationism.
Significantly, so far everyone who has replied to you agree that Young Earth Creationism is simply a really stupid concept that can only be supported by utter and total willful ignorance or utter dishonesty. Yet they are all saying the same thing; what you presented fails to disprove Young Earth Creationism.
It disproves a young earth, but only if we already assume that the big bang is true.
No it says nothing about the age of the earth. It does set a minimum age for the universe but you are trying to disprove Young EARTH Creationism, not Young UNIVERSE Creationism.
You might be able to challenge the Genesis 1:1 tale if you could show there was a difference between the age of the universe and the age of the Earth, but again, nothing in your presentation establishes that relationship.
If you are going to address Young Earth Creationism it would be a good idea to learn just how absurd the Cult can be. Stop and first look at what the YECs present as support for their fantasy and then see if you can match an old Earth evidence against a specific YEC assertion.
But remember, it will be very much like poking needles into jello. Pull the needle out and the hole gets healed and no sign of any damage done.