there's a ground there on teh fuse box i think..maybe that's what you're talking about?
if anything, take a picture of whatever isn't plugged up.
and maybe take some plugs out and turn it over and see if u get coolant out. with a new battery, it should turn over. but since it's barely turning over it just makes me think there's something locking it up, such as coolant in the cylinders. but i could be wrong.
get that pic!
you say "to get all the milkshake out" that part worries me too. did u have a big problem before with that before?