Yes
A motor is always going to be hot to the touch because when it is running it is very hot and takes awhile to cool down after it is shut off. If an engine is hot to the touch, it just means it was recently running.
i believe your heater core has died
have the radiator cap pressure tested
Are you sure the thermostat is installed correctly, or is it low on antifreeze? I would check the antifreeze level first.
Running it without a freeze plug it will run but can and will cause permenant damage to the engine to to the amount of antifreeze you will lose Running it without a freeze plug it will run but can and will cause permenant damage to the engine to to the amount of antifreeze you will lose
No. It will keep running until overheated to the point of a ruined engine.
Thermostat sticking. Replace thermostat and gasket.
No.
system running hot fans not running
charge battery. the motor is in the handle so you will be able to feel the heat from the gun if it gets to hot
You can find a detailed guide on fixing the motor on forums.hotrod.com/popular-hot-rodding/70/9384835/street/350-chevy-motor-not-running-please-help/
start by replacing rad. cap. if that doesnt help you have a blown headgasket.