After doing some research I have to disagree with the Doc on the first of J's photos. The colour one of Elvis on his motorcycle in front of his Audubon Drive home.
As you can see in the photo the small wall with a fence atop as well as the gate is finished.
On July 4th work had not even started on this. In mid-August only the wall is finished. The fence had not been put atop the wall and the gate not installed.
Elvis is driving his red and white 1956 model KH Harley Davidson which would indicate that the photo is from prior to November 1, 1956 when he bought himself a new Harley.
As Elvis left for Hollywood mid-August and didn't return to Memphis until Sept 22 the photo is either from the last week of September 1956 or from October 15-25, 1956.
I tend to go for late September as we know Elvis was out riding his motorcycle on more than one occasion during this week. However, nothing is mentioned in the local papers of motorcycle rides during his October stay in Memphis.