2000 Chrysler Sebring intermittent engine stalling

I just purchased a 2000 Sebring JXI convertable with 201,000 miles on it last Wednesday. On Friday, after the car had been sitting in a parking lot for about 2 hours (outside temp was about 95 degrees and low humidity). The car started fine and I drove about 300 yards and the engine cut out. I let it set for about 45 seconds and it started up. I drove it another 400 yards and it stalled again. This time it did not retart for about 5 minutes. I towed it to a parking lot and let it sit for another 5 minutes. It started again and it has been fine ever since. We have only driven it short distances <3 miles since the stall out. I believe it is fuel system related. The car had just over a 1/4 tank when this happened. Could this be as simple as bad fuel? The previous owner said the fuel filter is not that old. Usually when fuel pumps just go out on me I when they go, I can't start the vehicle again, but that has been mostly GM vehicles. Is there a computer module that regulates fuel / air flow in this vehicle? Could that be the problem? There is no check engine light on at this time so I am concerned that if I take this to my mechanic, there will not be any codes coming up to diagnose the problem. I am hoping that one of your technicians has seen this problem with this vehicle and can suggest a solution.I've paid $1800.00 on 2 fuel pumps and computer modules for 2 vehicles in the last year.I'm hoping this won't be the case. Thanks in advance for your response