The hood latch can stay if you want/need it, just disconnect the cable. If your yard would charge extra for it, just take it off and re-use yours.
The fenders and inner fenders can stay in place, but pulling the header panel off will make removing the core support much easier.
Aside from the body mounts, and the bolts on the fenders and inner fenders, the only thing left is whatever brackets connect to the header panel. You'll also have to remove the battery tray if the car is so equiped to access the bolts for the inner fender.
No need to remove the radiator unless it's already disconnected/removed, but you will need to cut/disconnect the lines to the condenser if the car is equiped with a/c like mentioned above. Or if the radiator's out, you can just remove it too. You'll also need to cut/remove the headlight wiring harness.
Also don't forget to remove the plastic air-dam underneath if it's still there.