  We have studied the evolution of superconducting and normal state properties
of neutron irradiated Mg(B$_{.962}$C$_{.038}$)$_2$ wire segments as a function
of post exposure annealing time and temperature. The initial fluence fully
suppressed superconductivity and resulted in an anisotropic expansion of the
unit cell. Superconductivity was restored by post-exposure annealing. The upper
critical field, H$_{c2}$(T=0), approximately scales with T$_c$ starting with an
undamaged T$_c$ near 37 K and H$_{c2}$(T=0) near 32 T. Up to an annealing
temperature of 400 $^ o$C the recovery of T$_c$ tends to coincide with a
decrease in the normal state resistivity and a systematic recovery of the
lattice parameters. Above 400 $^ o$C a decrease in order along the c- direction
coincides with an increase in resistivity, but no apparent change in the
evolution of T$_c$ and H$_{c2}$. To first order, it appears that carbon doping
and neutron damaging effect the superconducting properties of MgB$_2$
independently.
