Is this right?

This pic is of my brake pedal--is the beaded chain connected from the firewall to the brake light switch correct? I also found this broken spring under the drivers seat--does anyone know if the spring might have been used insteed of the beaded chain or what it otherwise could have been used for? The problem is my brake light stays on all the time and I'm trying to figure out how to fix that. Manual drum brakes all around and I'm about to convert to manual disc in front.