I dont think you can deffinetaly say it is the coolant temp sensor without actually testing it. Jay was lucky he had a spare one but to just purchase a sensor in hope it will fix your problem is kinda silly.

I am not saying it isn't the sensor, but how do you know. No start diagnoses it pretty straight forward. If it is flooded the plugs will be wet with fuel then you have no spark or bad fuel control ie.. sensor input or leaky injector or bad ecm could even be poor compression but doubtfull on that one( not saying it is those but basic need to be checked first)

If you have dry plugs it is a fuel issue.

Unfortunately for you it is bloody cold outside.