For the runouts, you need to shut the door. I'm guessing she always runs out to the right or left. That would equal your weak side. Whatever side it is, be very clear about shutting the door. If she runs out to the right, have that right rein lying practically on her neck and keep your right leg on. Eventually she'll realize she can't get out that way. Hopefully she won't switch to just stopping instead and decide to just take the jump.