Does the running light stay off while the bike is on, and then only come on when the brake light is on, or both filaments come on when the bike is on? Either you have a short between the two incoming power wires, or one of your brake switches is stuck.
The rear switch should have a connector about 12" from the switch; unplug it and see if the problem goes away.
The front brake master cylinder has a reed switch mounted to the underside by one tiny phillips screw. It has two quick-disconnect terminals on it. You can unplug one to see if the problem goes away.
In both cases, the switches are still readily available and easy to replace.