Working, post 5. Pool
Since we've finally gotten the pool to be usable, I thought I'd post some pictures of the intermediate steps. When we arrived it was green and full of leaves. We didn't know how to use any of the equipment (did you know there's a filter basket in the pump??) or what chemicals to use. Further, our pump and filter were leaking, indeed spurting, water everywhere whenver they were turned on. They are still leaking, and will probably have to be replaced next season ($1000), but they are leaking less and it is containable. We owe a debt of thanks to our sympathetic pool-owning neighber who went through the same orientation when they bought their house a few years ago.
To get the leaves all out, I had to dive to the bottom through murky water with a net. After that was over, the maple trees (it is Maple Street) started shedding seeds, which clogged the pump. It's amazing how much of a difference a clean pump makes.
By June 30, we were able to open our pool to guests.