1994 Toyota Corolla Overheating, Spilling Coolant, Inabilit

The temperature is about 95 degrees with 70% humidity in Philadelphia. I had been driving for about 10 minutes with the AC on and proceeded to park. I sat in the car a few minutes only to realize right when I shut the car off that the temperature gauge was near the top. This only happens when I'm in traffic on really hot days. I heard some gurgling and bubbling under the hood and opened it to realize that some of the coolant was gurgling out of the "escape hose" connected to the overflow container. I tried to start the car and only got some clicking. An hour later I almost got it turned over, but sounded like a dead battery would when it almost has enough juice. Battery is 6 mo old and works perfectly. Alternator is find and I have a new distributor. I haven't tried again and am waiting for the weather (and engine) to cool. What could cause this inability to turn over the engine, would it be the over-heating or another problem?