Check the engine thoroughly. FInd out where the coolant is leaking. If it's leaking from the side of the block, you've probably thrown a rod and it's stopping the engine and the starter won't be able to turn it.
The starter motor
Dirty battery cables are maybe just loose. Bad starter wire conections are starter.
you use a mirror and a flash light
No. A bad starter would cause the car not to start.
Most likely cause is the intake manifold gasket-antifreeze will usually leak down the back of the engine and drip off of the starter or somewhere in that area.
On my 350ci chevy, it is above/beside the starter on the engine block. BE CAREFUL or you will get a face full of antifreeze!
Broken starter drive? Broken tooth on converter/flywheel?
This could be the frost pulg located just behind your starter did you have antifreeze in the rad or water? This could be the frost pulg located just behind your starter did you have antifreeze in the rad or water?
Bad ignition switch or starter solenoid
Either one of the heater hoses are leaking or you have a freeze plug on the side of the engine leaking.
Either your battery is run down or the starter has gone bad. Try tapping the selinoid (small cylinder)on the side of the starter.
Check the star - delta wiring. It does not seem to be correctly wired.