First, the "original"
The "no tree" image has no tree AT THAT ANGLE. Get a straight on shot we'll see if there is a tree there or not. And what year was this photo taken? Even if at the same angle, tree's cannot fall or be cut down?
This tree, is in front of the wall. The tree in the original is behind the wall. Clearly not the same tree. This photo also clearly shows many other benches, so how do you know which bench the picture was taken at, and again, if whatever bench had a tree behind it?
Very sloppy "analysis" on that series of pictures. Questionable on most of the rest. Only the first one looks somewhat dubious.
Tree or no tree, Obama is wearing a wedding band in that picture from 1982. Who was he married to? Or was this some sort of promise ring, like a lot of Christain teenagers get, when they promise to wait.