I don't see anything linking Ceasar to Rome specifically though.
If anything, these things seem to be mentioned in more of a worldwide "Greek Empire" of sorts.
Discussion
Helps to read the Bible some. Try Luke 2.1 and 3.1.
Caesar on the denarius, Mark 12.15-16.
Just for starters ...
What links tertrachs, denarii and Caesar specifically to the Rome of the Bible?
(and not the Rome we were given in history)
I don't see that link.
Where does it say that Herod is a Roman? Or Pilate? Or Augustus?
If I don't step out of the Bible and try to figure out what reign people are under at the start of the New testament, I don't come to the conclusion that Rome (a location that is mentioned a handful of times) is a huge empire under which rule everyone is living.
Certainly because at that time this was so obvious it was not worth mentioning it.