"DanG" wrote in message
...
Take a garden hose and run it down the downspout. I really feel like the
something is preventing it from taking the rain. It could be choked with
leaves and not be visible at the inlet. You might look into adding an
additional downspout(s). From your pictures, I can't see any.

Sure looks like a clogged downspout and, as others have posted, a sagging
gutter plus a leaking joint as well.