Mine was the same for quiet time, refused to stay in her room. So I changed things up a bit, I made the family room dark and offered her to stay on the couch for the full 2 hours of quiet time. If she was good during the day she was allowed to pick a quiet time movie. If she didn't behave it was my choice, I would turn on music and she disliked that too much. She actually looks forward to quiet time and some days asks "is it quiet time yet"?.

For time outs what method are you using? With my daughter she goes to her room, It's hard keeping them there but if they don't stay in there room then they need to loose privileges. If toys don't work would loosing t.v time work? You need to follow through on discipline and no bribes.