To clear up my confusion, The belts spin whenever the key is turned on. But the engine will not crank? If the belts spin with the engine on, it is cranking. You can hear the starter trying to start it up. You can hear the starter spin, but the engine does not turn over? If you hear the starter spin, I doubt charging and jumping are doing any good.
The "Whirring noise with belts spinning" is what gets me. The noise suggusts starter, but if it is turning over, then there is no starter problem. Wonder why it blew the rad hose? Head gasket these are famed for? Pull out the dipstick and check the oil level and if it is whitish colored. Any chance some coolant got in the distributor cap and is shorting it out?