Gear shift light not working 2005 cobalt

Problem with the shift interlock system .Watch this video , GM had real problem with this on the cobalt . How to Repair Your Gear Shift Mechanism for GM Pursuit G5 Cobalt Key...

I fixed one on my brother's cobalt by getting a used one at the auto salvage yard for $ 15.00 .

The shift solenoid valves are two identical, electronic exhaust valves that control upshifts and downshifts in all forward gear ranges. These valves are normally open. These shift solenoid valves work together in a combination of ON and OFF sequences in order to control the positions of the 1-2, 2-3, and 3-4 shift valve trains. The TCM monitors numerous inputs to determine the appropriate solenoid state combination and transmission gear for the vehicle operating conditions.
Remove the transmission side cover. Refer to Control Valve Body Cover Replacement . Remove the 1-2 shift solenoid retainer clip (304), the 1-2 shift solenoid (305) with O-ring (303), the 1-2 shift valve (302), and the 1-2 shift valve spring (301).
Remove the PNP switch. Refer to Park/Neutral Position Switch Replacement . Remove the transmission upper side cover bolts. Install the engine support fixture. Refer to Engine Support Fixture in Engine Mechanical. Raise the vehicle. Refer to Lifting and Jacking the Vehicle in General Information. Remove the left front tire and wheel. Refer to Tire and Wheel Removal and Installation in Tires and Wheels. Remove the left inner fender liner. Refer to Front Fender Liner Replacement in Body Front End. Remove the wheel drive shaft from the transmission. Refer to Wheel Drive Shaft Replacement in Wheel Drive Shafts. Remove the power steering gear mounting bolts. Refer to Steering Gear Replacement in Power Steering. Remove the frame. Refer to Frame Replacement in Frame and Underbody.
This is a tough repair an needs special tools to do it . your best bet is take it to AAMCO

Most console bulbs are 194. Napa or any parts store.

its your neutral safety switch

Take it to a shop. Don't fool with it. It has to do with the traction control.

It sounds like the catalytic converter might have come loose causing a loud exhaust leak. Did they repair the problem that caused the converter to plug up like a defective oxygen sensor or coil pack?

could have something in the wrong place.

sounds like the shift cable is broken or out of adjustment

sounds like you have a problem with your vehicle speed sensor this sensor is essential for the correct operation of many control units on your vehicle best get a diagnostic test on your vehicle to confirm this

I have a 05 cobalt. One thing you have to make sure is that your pressing the brake while shifting out of park. As far as the wheels not turning while car is off, Completly normal. Reason why, because your power steering pump is not working while the car isnt running.