Transmission problems are common in this model, often as a result of a failed front pump. The pump loses its ability to create hydraulic pressure, which an automatic transmission needs to function. A sign of front pump failure can be a whine type noise.
2008 Ford Crown Victoria Problem Reports
RepairPal Verified 2008 Ford Crown Victoria Problem Reports
The engine may overheat at idle when the AC is on. A new, upgraded fan motor and resistor assembly should be installed.
The battery light may illuminate on the instrument panel because the alternator wire harness connector is damaged. A new connector kit is available and should be installed to correct this concern.