Welcome to Just Answer Chrysler my name is Mark.
So, does it start now.........or will it not start?
We inspected the timing belt and the marks are aligned properly, would the fuel filter cuase the problem if it was dirty. Also being an interference motor would not the timing chain damage the valves if it jumped a tooth or two? We originally thought that was the problem, but the engine runs smooth when it is first started. The fuel system sounds like the better culprit.