my car was making a ticking noise then one day it got hot now won't start

So do you think its the timing belt? I watched a video on what it sounds like when your timing belt is broke..it sounded exactly like my car when you try to start it..my car has 113000 miles on it and I only have had it for 10 months..I here that those belts do need to be replaced every 60 to 100 thousand miles so I am leaning towards my timing belt but is that why the car went hot that day?and the ticking noise sounds like a stuck valve does that play a part with the belt? and I also heard that since my cruiser 2.4 is a non interfereing engine so my lifters should not be bent when it got hot that day..is this all true? If so is it the timing?

This my be a little late but check this. First turn off all accessories(fans, wipers,radio). Try to start the car IF the timing belt is broke you will hear the engine turning over faster and more freely than normal(less parts are turning)and it will have a more whining sound.After that if your not sure try this.Remove the intake pipe(big black flex) that is connected between the throttle body and the air cleaner, spray some starting fluid into the engine and try to start again. IF it coughs,chugs or tries to start IT IS NOT THE TIMING BELT.IT IS A FUEL PROBLEM.If the shop can't tell the difference of a engine with/without a timing belt I wouldn't let them touch it.