If your timing belt went, there would have been considerable noise as the valves hit the pistons. It does not sound like that happened. It does sound like you had an overheating problem which may be caused by a water pump or a number of other things. The leaking coolant sounds more like a blown head gasket. This could be pretty expensive.
The water-pump "weep-hole" is under the in-put shaft casting on the *left side of the engine. When a timing belt breaks in this engine it will have damaged the valves and pistons. You have an interference engine!
Come on baby you can start.
If the timing belt is broke then your engine is a goner. If you overheated the engine, that also probably killed it. I don't think this car will run again to be fair.
I had someone come look out at they said that my timing belt broke and I need a water pump. When I try the crank up the car it acts like it wants to fire up but doesn't. It overheated real bad I tried to place anti-freeze and just leaks out the lower right (if facing the engine). Could this be a cause of my problem?