Problem with Vibration

no mil light, and i dont think its the coolant sensor, the fans come on when theyr suppose to, i think its a fuel problem, mayb that pump relay, it only takes a couple turns of the key and it starts again and runs for a bit, sometimes if i coast long enough, it will catch up w/out stalling or havin to turn key to start, and run for a bit but then itl happen over nd over til it cools down

When it could not start, you need to check what is missing, ignition sparks, fuel injector pulsing, fuel pressure.