ok i think you need some help.
get someone to push the starter switch while you feel for the click.
put your hands on the motor, can you feel the click/thunk??
if so pull the pto flywheel cover off pull the plugs and turn it over by hand using the fly wheel. if it turns try cranking with out your plugs in
if you can't feel the clunk of the starter follow, the red wire back to the electrical box chances are the click you're hearing is the starter selenoid at the end of the red wire. if thats your click, re read what everyone else has said.
Double check your grounds and your battery connections. If you can't find a problem, i THINK you can swap the solenoid from the running motor's box. if it cranks starts great finish your winterizing and order a new solenoid