damn... I love skunks .. they're sweet. coons as well...
heavy blood loss (flesh wound) = kill it quickly to reduce suffering.. i'd recommend an ax to the neck.. sounds grousome, but it's the fastest and most humane way within your abilities.. hitting it on the head does not ensure a quick death
broken legs can be dealt with, although since you are posting on this forum about this i wouldn't trust you to figure out how