  We show that the numbers of nilpotent coadjoint orbits in the dual of
exceptional Lie algebra $G_2$ in characteristic $3$ and in the dual of
exceptional Lie algebra $F_4$ in characteristic $2$ are finite. We determine
the closure relation among nilpotent coadjoint orbits in the dual of Lie
algebras of type $B,C,F_4$ in characteristic $2$ and in the dual of Lie algebra
of type $G_2$ in characteristic $3$. In each case we give an explicit
description of the nilpotent pieces in the dual defined in \cite{CP}, which are
in general unions of nilpotent coadjoint orbits, coincide with the earlier
case-by-case definition in \cite{L4,X4} in the case of classical groups and
have nice properties independent of the characteristic of the base field. This
completes the classification of nilpotent coadjoint orbits in the dual of Lie
algebras of reductive algebraic groups and the determination of closure
relation among such orbits in all characteristic.
