I can take my key out when it is in aux or run position as well, but mine is a 68.

Even if you find the ignition switch is faulty and staying somewhat on when you turn the car off, the rear brake/tail light and the side marker light should not be on. They should not be on when the light switch is off and a perfectly operating ignition switch is installed. Is the rear light and the side marker light that stays on both on the left or right side or is it one left one right? Sounds like you have two or more electrical problems at once.

Having a front marker and a rear light staying on would lean towards a light switch being the cause and not a brake light switch as the brake light switch does not operate the front markers.