Automorphisms of Twisted Chevalley Groups of type ${}^2 A_3$ and ${}^2 A_4$ over Local Rings

This paper is part of an ongoing series devoted to the classification of automorphisms and isomorphisms of twisted Chevalley groups over commutative rings. In our previous work~\cite{EB&DM1}, we established that over local rings containing $1/2$, all automorphisms of twisted Chevalley groups and their elementary subgroups of type ${}^2A_{\ell}$ ($\ell \geq 5$) are standard. In the present paper, we address the remaining low-rank cases and provide a complete classification of the automorphisms of groups of types ${}^2A_3$ and ${}^2A_4$ over local rings $R$ containing $1/2$, across all isogeny types.