Radio button not working
Trace the leads from the pushbutton to the solder pads to see if there is a break.
Check for continuity across the pushbutton terminals with a multimeter when the button is pushed.
Try to bridge the contacts on the button and check if the radio turns on.
If step 1 checks out and either step 2 or 3 show no continuity, then the pushbutton is bad and needs to be replaced.