A basic result in the theory of model categories is that simplicial sets form a simplicial model category. The same is true for simplicial $k$-algebras. I have two questions related to this. One involves defining model categories via gluing and the second involves defining model categories via functor of points. I have no idea if these questions are extremely easy or difficult. I am sure they display my lack of knowledge when it comes to model categories.

Consider the category $\mathbb{V}_k$ of all separated schemes of finite type over a field $k$ along with a grothendieck topology $\mathcal{T}$ on $\mathbb{V}_k$.

Question A) Is the simplicial cateogry $s\mathbb{V}_k$ of $\mathbb{V}_k$ a simplicial model category (or even just a model category)?

Question B) Let $\mathbb{S}_k$ be the category formed by subfunctors of representable functors from $\mathbb{V}_k \to Sets$. Let $s\mathbb{S}_k$ be the simplicial category of $\mathbb{S}_k$. Is $s\mathbb{S}_k$ a simplicial model category?