It could be so many things given the complexity of today's automotive computers and the array of sensors which feed them. Timing belt and fuel pump are the most obvious culprits, but if you're looking on where to start, try and get a diagnostic with the computer and see if it recorded any codes.
fuel pump?
Probably the alternator.
no spark died while driving shortly after start yes has fuel pressure.
Because it is so old it needs scrapping.
One or both of you're drive axle bearings is dry
The most common cause of a automobile stalling, while driving, is and electronic fuel pump going bad. The vehicle will begin to stall more and more and eventually not run at all.
No, a Stratus engine sits transverse, while the Intrepid sits front to back.
A timing belt failure normally trashes the engine.
Get car scanned for codes at most parts stores for free. Could be a CPS crank position sensor or cam position sensor. If crank sensor is bad, will not start. Get codes checked first.
Hmmmm. My Stratus is a 2000. The fuel pump is in the gas tank. Change the filter while you're at it!
because of the slick and sharp turns
The transmission computer has detected a malfunction and set a code. You will need to have it checked for codes to know what to diagnose.