I wouldn't do anything about the overbite if it doesn't cause problems for him. If he can eat and play and is doesn't bother him, leave it be.
While I'm gone, the dogs are in the fenced yard. I have 7' chain link with large gravel poured around the bottom to discourage digging. I still have to go on hole patrol every few days. All of my gates have snap rings through them because the buggers figured out how to work the latches. So far, they don't climb the fence itself.
As far as training, mine have just gone through standard obedience training. Once he has the obedience down, getting him into some sort of sport will give him a "job" and help to drain some of that energy off.
Toys; I use the heavy duty chew toys. Kong is good. There's a chewy made from fire hose material that holds up pretty well. Expect to change out chew toys every few weeks -- mine destroy them and I've accepted that fact. I don't have dogs that daintily roll toys around, I have dogs that stuff Kongs back into those back teeth and happily chomp until the "unchewable" toy is in pieces.
I'm sure others will chime in. Welcome!