Why? What's your current training goal and what's the goal of that specific work on "off" days?
I know you said posture, but I'm not sure how light overhead presses help posture. Chins, sure. Presses? Not so sure. Also, barbell hip thrust aren't really a glute training exercise, not really an activation exercise. For glute activation, I'd go with side lying clams, unweighted glute bridges, and/or bird dogs.
Where'd the cardio topic come from? Plenty of ways to get cardio done indoors with little to no equipment, but that wasn't mentioned in your first post.