YOU have a problem. The ICON control has several parts which can cause the symptoms. It could be the face plate panel, or the pilot burner module, but could also be the valve body. B-W has a 5 step testing procedure.
You have already done steps #1 and 2.
Step #3 Jump the contacts on the thermal switch and light the pilot; If the pilot lights and the heater fires propetly, replace the thermal switch. If it does NOT activate, replace the pilot assembly.
Step #4. Remove the ICON coverand test each of the two top pins with the bottom "common" pin for 11 to 13 ohms each. That meter reading indicates the valve is good.
Step #5. If the previous four steps fial the board is bad therefore replace the cover.