Answer
a) $kg\,m^{2}s^{-2}$
b) Yes.
Work Step by Step
a) S.I base units of E= $S.I\,unit\,of\,m\times (S.I\,unit\,of\,c)^{2}= kg\,m^{2}s^{-2}$
b) Yes. Units of E= unit of m$\times$ units of g$\times$ unit of h= $kg\times m\,s^{-2}\times m=kg\,m^{2}s^{-2}$