ABS issue my speakers don't stop working, but my radio/Cd player gets a little funky - jumbling numbers, or shutting off alltogether.

The humming sound prior to cutting out could indicate a short in the unit itself.....remove unit and have it tested!

Does the radio work at all. or is the cd player the only issue.? most of the time you need to enter a radio code to unlock the radio. If you enter it wrong to many times it will display error on the display.if you dont know the code then you can call the dealership and get the code after you do the following below to get the serial number.
Press and hold 1 and 6 on the radio while still holding the 1 and 6 press the power button. At this time it will read off serial number
SOUTHERNELECTRONICS.COM

It is more than likely the radio! If you are getting static from the speaker. The problem is either a channel circuit amplifier gone or the balance control. Could try swopping the speaker wires on the back of the radio, see if the fault transfers to the other speakers.

Possibly, the bundle that goes through the door also have speaker wires in them. Check there.

no quick fix there. Dealer would be best option. There have been many issues with the STS, XTS CTS, and ATS radios.
Most problems relate to XM radio, but the issue you mentioned seems to lean toward the "replace it" path.
Best to check with a dealership to see if there is a recall.

have you had any speakers or bass boosters installed in your car that werent in the vehicle before you purchased. Watch for wiring issues or possibly even battery voltage issues.

all the speakers and chimes stopped working.

Unfortunately not. The first thing I would try to do is get the cd player fixed by an audio store in your area. If it cannot be fixed, you will have to replace your radio unit. Let me throw this at you. I have invested in a whole new sound system in my vehical. I am not saying that all of your speakers need to be replaced, but an aftermarket stereo unit is more fuctional and stylish than than your stock stereo unit. Hope this helps! Please rate 4 thumbs up!

YOU HAVE THE ILLUMINATION WIRE HOOKED INTO THE RADIO

If you smoke or eat in your vehical your smoke proble got in to it and messed up your hloe system. I suggest you getting a cd/dvd cleaner and try that. If it worked for me it should work for you to! Good Luck!