Dylan, it is what you want your dog to do. Murphy wouldn't jump over anything. We have a 3 foot decorative fence sectioning our garden off from the dogs garden, he has NEVER jumped it. We also have 2 baby gates in the house, again, he hasn't jumped either of those.
We did have a DH x once, whom we taught to jump, he used to clear 6 foot fences with ease, but would never have jumped out of the garden.
As for digging.......yes, they are mini JCB's when they get going, hence our little fence between the gardens, our lawns looked like he was digging down to Australia.
In short, if you teach him, he will jump.