How long has that tree been staked? It looks like it has been years...The trunk actually thickens above the hoses...sigh. I would unshackle the poor thing and prune out all dead branches as well as all small-diameter healthy branches. This will allow the wind to blow through the tree, otherwise, as long as this tree has been staked...a breeze will blow this tree over. Take the leader down to the third healthy branch, making a healthy branch the new leader...perhaps facing the direction of the bare side. It will straighten as it grows...is there a circle with mulch like your other little tree on the other side of the fire hydrant? Make SURE you pull the mulch back off the bark of the tree! On all your trees and shrubs. For good measure, get some mychorrizae from a nursery and put it in the soil under the drip line...grin, what's that here? A 2-4 foot circle?
Otherwise get rid of it. If your home owner association allows, plant something different than oak, perhaps a Sunburst Honey Locust. Please don't stake your new tree. If it comes with a full canopy, thin out branches that are small in diameter in relation to the trunk. Any branches that angle towards the center of the tree, any branch that crosses another (choose the one you want to keep) and of course any dead branches. Again, this allows the wind to blow through the tree without catching the canopy and pulling it over. Plant only as deep as the root ball. If your tree has made a bigger hole, be sure to backfill to the correct height and TAMP FIRM. Otherwise when the soil settles, the tree will sink too low and once again the bark will be compromised. If your soil is sandy, make sure you get water in that clay root ball of the new tree! Use a temporary tree well the same diameter of the root ball or get a 2" or 3" pvc pipe, drill holes on the bottom foot or so that the holes can be inside the root ball. You water from the top of the pipe, and for the first month or more if it is warm weather water every other day until established.
If it comes with burlap, get the tree in the hole and get that burlap off! Completely. If there are roots circling the ball, unwind them gently. Fertilize with low nitrogen complete fertilizer IF THE TREE WASN'T FERTILIZED AT THE NURSERY. Ask when and what was used...I hope this helps. I am having a hard time thinking that the wind blowing off leaves caused this mess. Why didn't your neighbor's trees do the same? That is why I am recommending another species other than oak. Oh! And make sure you clean your pruning tools with alcohol every time you prune a plant and do it again before you prune another...