2000 V70 I need help troubleshooting some issues

[Rishjr]

Update!

The issues continue to persist.

I brought the car to a mechanic yesterday morning and had a full diagnostic ran. The only code that he found was PO250A, which I can't seem to find a reference to online. We checked the fuelrail pressure - it was solid, there were no vacuum leaks, He couldn't figure it out.

The only recommendation that he had was to replace the Fuel Pump Relay Sensor (basically a fuse), so I ordered one and will give it a try.

The next thing on my list to replace if that doesn't work is the engine temp sensor, located just below the thermostat (which i'll go ahead and replace as well)

[misha]

Nope, the only time that happens is the usual, after a long trip.

They should NEVER stay running after engine is turned off....doesn't matter how long the trip was.