First off, I wish all luck making this costume. It's a challenging outfit.
As stated above, yes, the fabrics were custom made for the production. For the Barbossa coat fabric, we can only come close to it. It will have to be custom made by whom ever you get to make your outfit. I'm currently working on the frock for someone, and it's been a very tedious project to get the 'dots' aligned right. Though some have made the french knots, the best really would be a smocking style as you won't have to worry about the french knots coming out. And that looks more like what the fabric had done rather than dots.
A silk fabric in a charcoal color is what I am using. It's not too shiny. Finding the right color has been a challenge as well.
A couple other people have used the Robert Allen fabric titled Dallin. Though there is no charcoal color, khaki is the only closest color and it's a bit greener than it should be. But has a nice effect. The 'dots' are not spaced evenly though, they are more sporatic.
The waistcoat fabric can no longer be located either. There are a few that are close but not exact.
I wish you luck.
~Lady B