Why would this car just die after awhile, let it sit for a little and it starts.

What is your question?

It can be driven for hours and hours then out of no where it dies. It wont start right away but if you let it sit for like 15-20 min to cool down it starts. Already replaced 2 coils. The fuel rail while running has plenty of pressure but when key is in only on position and not running it barely trickles out. Could it be fuel filter or pump?