Overheatint 1994 Toyota Camry

The car was driven by my wife last month when it started overheating, she ignored it because it was nighttime and she wanted to make it home. Then it became sluggish and finally stopped. Smoke came out from the engine compartment. When I inspected it, the leak is from a few pinholes at the top of the radiator, and it needed only about 8 oz. To top up. Engine oil level is fine, and there was no oil nor water leaking under the car.
I was able to start after 2 tries, seems to be normal. The repair shop said I seem to have moisture in the fuel system, and said it seems to crank a little too fast, and suspect head gasket leak. Recommended to pull cover off to inspect if head damage too - at $2000.
I said no way - the engine still runs smooth! And no smoke from the exhaust. I think I need to replace radiator first.
The car starts right away now, but temp gets to red zone after about 3 miles, and smoke will come out from those pinholes. Tried Prestone leak solution - no help.
Question - does it overheat because of the pinhole leaks? Or the thermostat is shot? Or electric fan inop? Or water pump? ( Replaced about 10K miles ago) or did running engine after overheating caused thermostat or watet pump to fail?
Thanks for any guidance.
Stan