Infinitesimal deformations of some quot schemes, II

Let $C$ be an irreducible smooth complex projective curve of genus $g$, with $g_C⩾2$. Let $E$ be a vector bundle on $C$ of rank $r$, with $r⩾2$. Let $\text{mc}Q:=\text{mc}Q(E,d)$ be the Quot Scheme parameterizing torsion quotients of $E$ of degree $d$. We explicitly describe all deformations of $\text{mc}Q$.