My indicator light stays on all the time for the surface all burners are off
If it is the surface on indicator light you then the problem would be in one of the infinite switches. You will want to check from P to L2 on each of the switches with the switches in the off position. If there is 120 vac then the switch is bad and needs to be replaced.
The burners seem to have a mind of their own when it comes to temperature control. Does that me I need to replace the burner control switches? If so how do I get to the switches?
Answer Don, Your first check should be at the elements and receptacles on the cooktop. Turn power off, remove the elements and drip panes and check the recepatcle openings, and end of the element terminals for damage and arc marks, and make sure the elements snap and lock in place tightly when inserted in the receptacle. To access the burner switches, you'll need to remove the burner knobs and bezels, raise the cooktop, use a putty knife to press in on the two spring clips and lift up on the corner of the cooktop, use a prop rod to hold the top up while working on the switches.