None of the items you've listed are really essential imho. There more for people who chose the green wood trad tools way. I'd consider how you will bend the bows and how your gonna drill the holes make thin dowels and form the tenons.
At this point I'd suggest jack Hills books and ashem tools. But ashem don't exist anymore. Alternatives are available though I believe. Drew langsner made a few good books about chairmaking. Chris schwarz is mostly a journo hipster and his books are mostly poor.(imho) I know Americans like him but the anarchists design book was mainly bunkum. I'd suggest make some things that have bits of Windsor skills
A stool, something steam bent, a stool with hollowed seat. A child's chair, then ponder how you'll piece it all together. Tapered tenons are poor as well. Tight fitting blind tenons are super and easy to make. Stretchers that actually stretch are important as well. English Windsors are much more attractive than American Windsor imho. American Windsors are really quite flouncy and dressy as if they became upper middle class on the journey across the pond. The seat material (white pine) leads to ugly thick seats. English windsors are firmly rooted in wheelwrighting both in materials and look.