Wow, we think alike.

In scripture we see apostolic succession: Timothy and Titus were ordained by Paul and they in turn were told to do the same, i.e. appoint presbyters in every town…Apostolic succession is so important to the unity of Jesus’ catholic church as well as doctrinal preservation.
" For this reason I remind you to fan into flame the gift of God, which is in you through the laying on of my hands." (2 Tim 1:6)
" The reason I left you in Crete was that you might put in order what was left unfinished and appoint presbyters in every town, as I directed you." (Titus 1:5)
This shows an orderly structure of instruction and ordination from the very beginnings of the Church.
These are indeed some I use too

. But I always have to make sure they sometimes understand that I am not doing Theology at that juncture as I quote but simply using it as a narrative. Because as soon as you quote Scripture, people tend to think its theology.
You read my mind!!!

Valid Sacraments too, although they refer to them as mysteries, which was what the CC called them prior to adopting the Latin language.
Yes, and the beliefs themselves can be traced back the same way a Catholic would. Interestingly, the Orthodox have missing concepts, similar to the Jews rather than arbitrary concepts. Both can trace what they have to a point of reasonable assent. But they just have difficulty going the full mile and accepting everything.
At least that is how I have come to see it
Due to the ineffable guidance of the Holy Spirit e.g. John 14:16, John 16:13 etc…
Yes, but again, we have to be careful when using Scripture. Once we enter Theology, it is a never ending debate of interpretation. So I find that historical approach works best (quoting Church fathers and if available, secular sources) because then its not much of an interpretation issue. But those passages can certainly get the job done too
That was the conclusion I came to as a former protestant. Perhaps, time permitting, you could share some early church father quotes regarding primacy? I have quite a few but would like to add to the list. Sounds like you have done a lot of research, just as I did.
Well, to be honest, most of my work dealt with finding a reasonable approach itself. The biggest issue for me was in convincing my non-Catholic friends, especially Atheists to embrace Catholicism. There are of course those who are just not looking for the truth. Those you cannot help. But there are those who are looking/open but just can’t see reasons. Sometimes they ask valid questions and I found myself sympathizing with them. So it is a search for a way to convey reasons for embracing Catholicism that lead me down this path.
In this sense, I usually tend to quote from other compiled lists

For one thing, I always forget them off the top of my head. Even the Apostolic Succession ones, I have the passages listed so I can quickly refer.
So the lists I used for Primacy are from these places
newadvent.org/cathen/12260a.htm#II
Look under the section “Primacy of the Roman See”. Those you might have already seen.
Oh and I also use these points (specifically when discussing with Orthodox)
catholicnick.blogspot.ca/2012/07/five-patriarchs-pentarchy-separating.html
catholicnick.blogspot.ca/2010/10/council-of-nica-proves-papacy.html
I find his blog very useful on this issue. The stuff he has on Canons is actually very useful (at least in my experience).