What Positional. study should I do first.
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Weapons of Chess, is, I think, the easiest. If you are going to read it at all, I would imagine that it would make the most sense to read it first. However, I do not remember ever hearing that the Amateur's Mind requires specific prior reading. Since you already have AM, you might want to try it and see how it goes. If you do have trouble with AM, I am not all that confident that the Pandolfini book will help.
"The Roots of Positional Understanding, ... This course module was initially intended for intermediate players with USCF or Elo ratings between 1200 and 1800. However, at least half of the challenges are suitable for those rated between 1800 and 2200 and even higher. Experts and Class A players will find this course module more than challenging with the advanced material and very useful review with the intermediate material. Intermediate players will build a solid foundation with the intermediate challenges and gain more and more from the advanced material as they progress in chess strength."
To me, ROPU sounds like something to maybe attempt after AM. As with AM, since you already have the Pachman book, the best idea is to try it and proceed if it goes well. My best guess is that it would be better to attempt to read AM first, although I do not think that AM was written with the specific idea of preparing one for Pachman.
You are not the first one here to manifest an inappropriate (I feel) interest in settling on a planned reading sequence. It is better (I feel) to just focus on what you want to read next and base future decisions on what happens with the reading that you are doing and the games that you are playing. Also, keep in mind that there is no rule that says that one must finish one book before looking at another. GM Yusupov wrote a series of books where various subjects were mixed together. A lot goes into playing chess well, and I imagine that very few go for very long with 100% attention on just one subject.
"... This book is the first volume in a series of manuals designed for players who are building the foundations of their chess knowledge. The reader will receive the necessary basic knowledge in six areas of the game - tactcs, positional play, strategy, the calculation of variations, the opening and the endgame. ... To make the book entertaining and varied, I have mixed up these different areas, ..." - GM Artur Yusupov
I just finished "My System" and I'm wondering. what positional studying I should do first. I have "weapons of chess" and "The Amateur's Mind" and I also want to do the course made by Silman called "Roots of positional Understanding". What order would you guys recommend I do these in?