Where is the keyless remote receiver on a 2008 srx

You will need to check why that light came on - get a good code reader and check for error codes.

If it locks when using the manual switch inside the car, the problem is probably your remote. If not, your lock solenoid in the lift gate may need to be replaced.

Could be the remote(have it checked) or the receiver in the vehicle. Have the codes checked.

Try jump starting it from another car. or that thing should have a volt gauge while trying to crank it if it drops lower then 11volts it wont start. or if you can hook up a volt gauge to the battery if not just try jump starting it.

the operators guide covers this.
lost that? (in the glove box is was)

Is this an issue with all 2008 HHR remotes??? Highly doubtful , probably the vehicles keyless entry system . Taking the vehicle to a qualified repair shop an having the keyless entry system checked for DTC'S - diagnostic trouble code's . Do you know what a DTC is ?
The keyless entry system is a vehicle entry device. The keyless entry system is used in conjunction with the body control module (BCM) to remotely activate certain vehicle features. Keyless entry will lock/unlock the doors, or release the rear compartment lid when a corresponding button on the keyless entry transmitter is pressed. This is accomplished by the transmitter sending a radio frequency to the remote control door lock receiver (RCDLR). The RCDLR interprets the signal and activates the requested function via a serial data message to the BCM. A low transmitter or vehicle battery or radio frequency (RF) interference from aftermarket devices, such as 2-way radios, power inverters, computers, etc., may cause a system malfunction. High RF traffic areas may also cause interference that could lead to a malfunction. Keyless entry allows you to operate the following components:
• Door locks
• Liftgate lock
• Remote rear doors (Panel only)
• Vehicle locator/panic alarm
• Illuminated entry lamps
• Remote vehicle start
The keyless entry system has the following components:
• Keyless entry transmitters
• Keyless entry antenna
• 2 Way Advanced Remote Start RCDLR
• BCM

Guessing will not fix this .

what oil are you using?

You must take it to the Chevy dealer.

Hiya...the factory-installed keyless remote control are installed in most Equinoxes IF SO equipped with this option that year.
However, it's difficult to get "true factory-installed" keyless feature in your Equinox ....but new 2008-2009 Equinoxes built this year now comes with standard keyless remote and yes, new option is remote STARTER feature (that option is identified by a black wire found inside the rear-right quarter window with thin metal line surrounding that interior window to receive signal from remote starter fob)

At least you can find after-market keyless remote control at your local retail store.

I took it to the dealer for programming.