About parabolic subgroup of a Weyl group

Question

Let $W$ be a Weyl group/Coxeter group. Let $\Phi$ be the associated root system, fix a positive root system $\Phi^+$ and let $\Delta$ be the set of simple roots.

Let $W_I$ be the parabolic subgroup of $W$ generated by $I\subseteq \Delta$.

1. Does $W_I=W_J\implies I=J$?

2. Does $s\in W$ with $s\neq 1$, $s^2=1\implies s=s_\alpha$ for some root $\alpha$?