Like I always say, get the leg-yield down pat. Make sure you can sidepass and turn on the forehand. Just basically set the foundation for being in control of her middle and butt.
For the jog I basically start with a firm collection. Circles if he starts to brace up. Leg-yield into the bridle. Release when he slows and rounds up. Then you can do circles on the counter-bend. Get his balance up and slow his movement. Work on getting his head to stay put by releasing longer. Get him to leg-yield without much mouth contact.
Lope - do circles to balance his movement, make sure the inside shoulder stays up. Firm collection of the face, and plenty of release. Side-pass and leg-yield the canter. Put his head into the wall and push his butt up over - otherwise known as "two-tracking". Work on transitions so that he lopes off from the stand-still round and with his head down. If he throws his head at the transition, back him up hard and push him off again. Counter-canter. Counter-canter circles and add a leg-yield. Work off of the loose rein while still controlling the body, etc.