This is the second talk in a two-part series about Hecke algebras with unequal parameters. In the first part we discussed the main definitions of Kazhdan-Lusztig theory in this setting (the Kazhdan-Lusztig basis, Kazhdan-Lusztig polynomials, cells, cell modules, the a-function, the asymptotic algebra, and Lusztig’s conjectures). In the second part we will discuss Plancherel Theorems for (mainly affine) Hecke algebras, and show how they are (conjecturally) connected to Kazhdan-Lusztig theory. The focus will be on examples, with $B_2$ and $\tilde{A}_1$ getting the most attention. For notes from the first talk and more information about this seminar, see the Informal Friday Seminar webpage: https://sites.google.com/view/ifssydney/home